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Finding the Fourth Proportional to 516.60, 703.44 and 516.60

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Solution

The fourth proportional to 516.60, 703.44 and 516.60 is: 703.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.60 : 703.44 = 516.60 : x
  2. Step 2: Convert to fraction form
    516.60/703.44 = 516.60/x
  3. Step 3: Cross multiply
    516.60x = 703.44 × 516.60
  4. Step 4: Simplify right side
    516.60x = 363,397.10
  5. Step 5: Solve for x
    x = 363,397.10/516.60
  6. Step 6: Final answer
    x = 703.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.