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Finding the Fourth Proportional to 539.96, 809.88 and 432.40

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Solution

The fourth proportional to 539.96, 809.88 and 432.40 is: 648.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.96 : 809.88 = 432.40 : x
  2. Step 2: Convert to fraction form
    539.96/809.88 = 432.40/x
  3. Step 3: Cross multiply
    539.96x = 809.88 × 432.40
  4. Step 4: Simplify right side
    539.96x = 350,192.11
  5. Step 5: Solve for x
    x = 350,192.11/539.96
  6. Step 6: Final answer
    x = 648.55

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Why These Related Problems?

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