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Finding the Fourth Proportional to 552.59, 832.15 and 516.14

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Solution

The fourth proportional to 552.59, 832.15 and 516.14 is: 777.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.59 : 832.15 = 516.14 : x
  2. Step 2: Convert to fraction form
    552.59/832.15 = 516.14/x
  3. Step 3: Cross multiply
    552.59x = 832.15 × 516.14
  4. Step 4: Simplify right side
    552.59x = 429,501.74
  5. Step 5: Solve for x
    x = 429,501.74/552.59
  6. Step 6: Final answer
    x = 777.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.