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Finding the Fourth Proportional to 516.86, 712.58 and 509.97

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Solution

The fourth proportional to 516.86, 712.58 and 509.97 is: 703.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.86 : 712.58 = 509.97 : x
  2. Step 2: Convert to fraction form
    516.86/712.58 = 509.97/x
  3. Step 3: Cross multiply
    516.86x = 712.58 × 509.97
  4. Step 4: Simplify right side
    516.86x = 363,394.42
  5. Step 5: Solve for x
    x = 363,394.42/516.86
  6. Step 6: Final answer
    x = 703.08

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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.