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Finding the Fourth Proportional to 538.76, 743.16 and 504.44

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Solution

The fourth proportional to 538.76, 743.16 and 504.44 is: 695.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.76 : 743.16 = 504.44 : x
  2. Step 2: Convert to fraction form
    538.76/743.16 = 504.44/x
  3. Step 3: Cross multiply
    538.76x = 743.16 × 504.44
  4. Step 4: Simplify right side
    538.76x = 374,879.63
  5. Step 5: Solve for x
    x = 374,879.63/538.76
  6. Step 6: Final answer
    x = 695.82

Related Problems

Find fourth proportional to 269.38, 371.58 and 252.22
Half scale
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Double scale
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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.