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Finding the Fourth Proportional to 624.60, 934.56 and 377.90

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Solution

The fourth proportional to 624.60, 934.56 and 377.90 is: 565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.60 : 934.56 = 377.90 : x
  2. Step 2: Convert to fraction form
    624.60/934.56 = 377.90/x
  3. Step 3: Cross multiply
    624.60x = 934.56 × 377.90
  4. Step 4: Simplify right side
    624.60x = 353,165.55
  5. Step 5: Solve for x
    x = 353,165.55/624.60
  6. Step 6: Final answer
    x = 565.43

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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.