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Finding the Fourth Proportional to 534.38, 732.09 and 515.89

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Solution

The fourth proportional to 534.38, 732.09 and 515.89 is: 706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.38 : 732.09 = 515.89 : x
  2. Step 2: Convert to fraction form
    534.38/732.09 = 515.89/x
  3. Step 3: Cross multiply
    534.38x = 732.09 × 515.89
  4. Step 4: Simplify right side
    534.38x = 377,674.25
  5. Step 5: Solve for x
    x = 377,674.25/534.38
  6. Step 6: Final answer
    x = 706.75

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.