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Finding the Fourth Proportional to 624.42, 861.74 and 344.68

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Solution

The fourth proportional to 624.42, 861.74 and 344.68 is: 475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.42 : 861.74 = 344.68 : x
  2. Step 2: Convert to fraction form
    624.42/861.74 = 344.68/x
  3. Step 3: Cross multiply
    624.42x = 861.74 × 344.68
  4. Step 4: Simplify right side
    624.42x = 297,024.54
  5. Step 5: Solve for x
    x = 297,024.54/624.42
  6. Step 6: Final answer
    x = 475.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.