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Finding the Fourth Proportional to 538.76, 743.24 and 352.56

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Solution

The fourth proportional to 538.76, 743.24 and 352.56 is: 486.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.76 : 743.24 = 352.56 : x
  2. Step 2: Convert to fraction form
    538.76/743.24 = 352.56/x
  3. Step 3: Cross multiply
    538.76x = 743.24 × 352.56
  4. Step 4: Simplify right side
    538.76x = 262,036.69
  5. Step 5: Solve for x
    x = 262,036.69/538.76
  6. Step 6: Final answer
    x = 486.37

Related Problems

Find fourth proportional to 269.38, 371.62 and 176.28
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.