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Finding the Fourth Proportional to 539.33, 806.34 and 457.97

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Solution

The fourth proportional to 539.33, 806.34 and 457.97 is: 684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.33 : 806.34 = 457.97 : x
  2. Step 2: Convert to fraction form
    539.33/806.34 = 457.97/x
  3. Step 3: Cross multiply
    539.33x = 806.34 × 457.97
  4. Step 4: Simplify right side
    539.33x = 369,279.53
  5. Step 5: Solve for x
    x = 369,279.53/539.33
  6. Step 6: Final answer
    x = 684.70

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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.