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Finding the Fourth Proportional to 424.74, 637.35 and 229.74

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Solution

The fourth proportional to 424.74, 637.35 and 229.74 is: 344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.74 : 637.35 = 229.74 : x
  2. Step 2: Convert to fraction form
    424.74/637.35 = 229.74/x
  3. Step 3: Cross multiply
    424.74x = 637.35 × 229.74
  4. Step 4: Simplify right side
    424.74x = 146,424.79
  5. Step 5: Solve for x
    x = 146,424.79/424.74
  6. Step 6: Final answer
    x = 344.74

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