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Finding the Fourth Proportional to 624.42, 934.23 and 458.79

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Solution

The fourth proportional to 624.42, 934.23 and 458.79 is: 686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.42 : 934.23 = 458.79 : x
  2. Step 2: Convert to fraction form
    624.42/934.23 = 458.79/x
  3. Step 3: Cross multiply
    624.42x = 934.23 × 458.79
  4. Step 4: Simplify right side
    624.42x = 428,615.38
  5. Step 5: Solve for x
    x = 428,615.38/624.42
  6. Step 6: Final answer
    x = 686.42

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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.