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Finding the Fourth Proportional to 539.04, 743.56 and 342.16

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Solution

The fourth proportional to 539.04, 743.56 and 342.16 is: 471.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.04 : 743.56 = 342.16 : x
  2. Step 2: Convert to fraction form
    539.04/743.56 = 342.16/x
  3. Step 3: Cross multiply
    539.04x = 743.56 × 342.16
  4. Step 4: Simplify right side
    539.04x = 254,416.49
  5. Step 5: Solve for x
    x = 254,416.49/539.04
  6. Step 6: Final answer
    x = 471.98

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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.