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Finding the Fourth Proportional to 528.86, 727.66 and 516.58

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Solution

The fourth proportional to 528.86, 727.66 and 516.58 is: 710.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.86 : 727.66 = 516.58 : x
  2. Step 2: Convert to fraction form
    528.86/727.66 = 516.58/x
  3. Step 3: Cross multiply
    528.86x = 727.66 × 516.58
  4. Step 4: Simplify right side
    528.86x = 375,894.60
  5. Step 5: Solve for x
    x = 375,894.60/528.86
  6. Step 6: Final answer
    x = 710.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.