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Finding the Fourth Proportional to 516.48, 711.16 and 469.56

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Solution

The fourth proportional to 516.48, 711.16 and 469.56 is: 646.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.48 : 711.16 = 469.56 : x
  2. Step 2: Convert to fraction form
    516.48/711.16 = 469.56/x
  3. Step 3: Cross multiply
    516.48x = 711.16 × 469.56
  4. Step 4: Simplify right side
    516.48x = 333,932.29
  5. Step 5: Solve for x
    x = 333,932.29/516.48
  6. Step 6: Final answer
    x = 646.55

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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.