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Finding the Fourth Proportional to 621.63, 932.46 and 458.82

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Solution

The fourth proportional to 621.63, 932.46 and 458.82 is: 688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.63 : 932.46 = 458.82 : x
  2. Step 2: Convert to fraction form
    621.63/932.46 = 458.82/x
  3. Step 3: Cross multiply
    621.63x = 932.46 × 458.82
  4. Step 4: Simplify right side
    621.63x = 427,831.30
  5. Step 5: Solve for x
    x = 427,831.30/621.63
  6. Step 6: Final answer
    x = 688.24

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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.