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Finding the Fourth Proportional to 516.32, 711.34 and 467.18

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Solution

The fourth proportional to 516.32, 711.34 and 467.18 is: 643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.32 : 711.34 = 467.18 : x
  2. Step 2: Convert to fraction form
    516.32/711.34 = 467.18/x
  3. Step 3: Cross multiply
    516.32x = 711.34 × 467.18
  4. Step 4: Simplify right side
    516.32x = 332,319.10
  5. Step 5: Solve for x
    x = 332,319.10/516.32
  6. Step 6: Final answer
    x = 643.64

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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.