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Finding the Fourth Proportional to 538.67, 743.04 and 342.45

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Solution

The fourth proportional to 538.67, 743.04 and 342.45 is: 472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.67 : 743.04 = 342.45 : x
  2. Step 2: Convert to fraction form
    538.67/743.04 = 342.45/x
  3. Step 3: Cross multiply
    538.67x = 743.04 × 342.45
  4. Step 4: Simplify right side
    538.67x = 254,454.05
  5. Step 5: Solve for x
    x = 254,454.05/538.67
  6. Step 6: Final answer
    x = 472.37

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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.