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Finding the Fourth Proportional to 424.97, 638.05 and 294.66

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Solution

The fourth proportional to 424.97, 638.05 and 294.66 is: 442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.97 : 638.05 = 294.66 : x
  2. Step 2: Convert to fraction form
    424.97/638.05 = 294.66/x
  3. Step 3: Cross multiply
    424.97x = 638.05 × 294.66
  4. Step 4: Simplify right side
    424.97x = 188,007.81
  5. Step 5: Solve for x
    x = 188,007.81/424.97
  6. Step 6: Final answer
    x = 442.40

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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.