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Finding the Fourth Proportional to 539.60, 809.37 and 432.07

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Solution

The fourth proportional to 539.60, 809.37 and 432.07 is: 648.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.60 : 809.37 = 432.07 : x
  2. Step 2: Convert to fraction form
    539.60/809.37 = 432.07/x
  3. Step 3: Cross multiply
    539.60x = 809.37 × 432.07
  4. Step 4: Simplify right side
    539.60x = 349,702.47
  5. Step 5: Solve for x
    x = 349,702.47/539.60
  6. Step 6: Final answer
    x = 648.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.