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Finding the Fourth Proportional to 516.72, 708.45 and 507.48

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Solution

The fourth proportional to 516.72, 708.45 and 507.48 is: 695.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.72 : 708.45 = 507.48 : x
  2. Step 2: Convert to fraction form
    516.72/708.45 = 507.48/x
  3. Step 3: Cross multiply
    516.72x = 708.45 × 507.48
  4. Step 4: Simplify right side
    516.72x = 359,524.21
  5. Step 5: Solve for x
    x = 359,524.21/516.72
  6. Step 6: Final answer
    x = 695.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.