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Finding the Fourth Proportional to 345.47, 475.35 and 337.27

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Solution

The fourth proportional to 345.47, 475.35 and 337.27 is: 464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.47 : 475.35 = 337.27 : x
  2. Step 2: Convert to fraction form
    345.47/475.35 = 337.27/x
  3. Step 3: Cross multiply
    345.47x = 475.35 × 337.27
  4. Step 4: Simplify right side
    345.47x = 160,318.92
  5. Step 5: Solve for x
    x = 160,318.92/345.47
  6. Step 6: Final answer
    x = 464.06

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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.