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Finding the Fourth Proportional to 338.28, 466.88 and 282.92

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Solution

The fourth proportional to 338.28, 466.88 and 282.92 is: 390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.28 : 466.88 = 282.92 : x
  2. Step 2: Convert to fraction form
    338.28/466.88 = 282.92/x
  3. Step 3: Cross multiply
    338.28x = 466.88 × 282.92
  4. Step 4: Simplify right side
    338.28x = 132,089.69
  5. Step 5: Solve for x
    x = 132,089.69/338.28
  6. Step 6: Final answer
    x = 390.47

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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.