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Finding the Fourth Proportional to 516.32, 775.60 and 455.52

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Solution

The fourth proportional to 516.32, 775.60 and 455.52 is: 684.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.32 : 775.60 = 455.52 : x
  2. Step 2: Convert to fraction form
    516.32/775.60 = 455.52/x
  3. Step 3: Cross multiply
    516.32x = 775.60 × 455.52
  4. Step 4: Simplify right side
    516.32x = 353,301.31
  5. Step 5: Solve for x
    x = 353,301.31/516.32
  6. Step 6: Final answer
    x = 684.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.