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Finding the Fourth Proportional to 337.32, 464.66 and 282.04

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Solution

The fourth proportional to 337.32, 464.66 and 282.04 is: 388.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.32 : 464.66 = 282.04 : x
  2. Step 2: Convert to fraction form
    337.32/464.66 = 282.04/x
  3. Step 3: Cross multiply
    337.32x = 464.66 × 282.04
  4. Step 4: Simplify right side
    337.32x = 131,052.71
  5. Step 5: Solve for x
    x = 131,052.71/337.32
  6. Step 6: Final answer
    x = 388.51

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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.