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Finding the Fourth Proportional to 286.71, 429.90 and 252.54

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Solution

The fourth proportional to 286.71, 429.90 and 252.54 is: 378.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.71 : 429.90 = 252.54 : x
  2. Step 2: Convert to fraction form
    286.71/429.90 = 252.54/x
  3. Step 3: Cross multiply
    286.71x = 429.90 × 252.54
  4. Step 4: Simplify right side
    286.71x = 108,566.95
  5. Step 5: Solve for x
    x = 108,566.95/286.71
  6. Step 6: Final answer
    x = 378.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.