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Finding the Fourth Proportional to 588.59, 880.14 and 516.15

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Solution

The fourth proportional to 588.59, 880.14 and 516.15 is: 771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.59 : 880.14 = 516.15 : x
  2. Step 2: Convert to fraction form
    588.59/880.14 = 516.15/x
  3. Step 3: Cross multiply
    588.59x = 880.14 × 516.15
  4. Step 4: Simplify right side
    588.59x = 454,284.26
  5. Step 5: Solve for x
    x = 454,284.26/588.59
  6. Step 6: Final answer
    x = 771.82

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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.