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Finding the Fourth Proportional to 539.97, 809.95 and 463.42

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Solution

The fourth proportional to 539.97, 809.95 and 463.42 is: 695.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.97 : 809.95 = 463.42 : x
  2. Step 2: Convert to fraction form
    539.97/809.95 = 463.42/x
  3. Step 3: Cross multiply
    539.97x = 809.95 × 463.42
  4. Step 4: Simplify right side
    539.97x = 375,347.75
  5. Step 5: Solve for x
    x = 375,347.75/539.97
  6. Step 6: Final answer
    x = 695.13

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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.