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Finding the Fourth Proportional to 354.71, 488.62 and 337.43

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Solution

The fourth proportional to 354.71, 488.62 and 337.43 is: 464.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.71 : 488.62 = 337.43 : x
  2. Step 2: Convert to fraction form
    354.71/488.62 = 337.43/x
  3. Step 3: Cross multiply
    354.71x = 488.62 × 337.43
  4. Step 4: Simplify right side
    354.71x = 164,875.05
  5. Step 5: Solve for x
    x = 164,875.05/354.71
  6. Step 6: Final answer
    x = 464.82

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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.