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Finding the Fourth Proportional to 539.52, 744.84 and 457.52

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Solution

The fourth proportional to 539.52, 744.84 and 457.52 is: 631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.52 : 744.84 = 457.52 : x
  2. Step 2: Convert to fraction form
    539.52/744.84 = 457.52/x
  3. Step 3: Cross multiply
    539.52x = 744.84 × 457.52
  4. Step 4: Simplify right side
    539.52x = 340,775.47
  5. Step 5: Solve for x
    x = 340,775.47/539.52
  6. Step 6: Final answer
    x = 631.63

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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.