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Finding the Fourth Proportional to 338.32, 466.56 and 207.28

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Solution

The fourth proportional to 338.32, 466.56 and 207.28 is: 285.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.32 : 466.56 = 207.28 : x
  2. Step 2: Convert to fraction form
    338.32/466.56 = 207.28/x
  3. Step 3: Cross multiply
    338.32x = 466.56 × 207.28
  4. Step 4: Simplify right side
    338.32x = 96,708.56
  5. Step 5: Solve for x
    x = 96,708.56/338.32
  6. Step 6: Final answer
    x = 285.85

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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.