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Finding the Fourth Proportional to 337.06, 464.89 and 232.18

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Solution

The fourth proportional to 337.06, 464.89 and 232.18 is: 320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.06 : 464.89 = 232.18 : x
  2. Step 2: Convert to fraction form
    337.06/464.89 = 232.18/x
  3. Step 3: Cross multiply
    337.06x = 464.89 × 232.18
  4. Step 4: Simplify right side
    337.06x = 107,938.16
  5. Step 5: Solve for x
    x = 107,938.16/337.06
  6. Step 6: Final answer
    x = 320.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.