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Finding the Fourth Proportional to 337.46, 464.53 and 285.62

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Solution

The fourth proportional to 337.46, 464.53 and 285.62 is: 393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.46 : 464.53 = 285.62 : x
  2. Step 2: Convert to fraction form
    337.46/464.53 = 285.62/x
  3. Step 3: Cross multiply
    337.46x = 464.53 × 285.62
  4. Step 4: Simplify right side
    337.46x = 132,679.06
  5. Step 5: Solve for x
    x = 132,679.06/337.46
  6. Step 6: Final answer
    x = 393.17

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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.