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Finding the Fourth Proportional to 468.61, 702.92 and 252.61

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Solution

The fourth proportional to 468.61, 702.92 and 252.61 is: 378.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.61 : 702.92 = 252.61 : x
  2. Step 2: Convert to fraction form
    468.61/702.92 = 252.61/x
  3. Step 3: Cross multiply
    468.61x = 702.92 × 252.61
  4. Step 4: Simplify right side
    468.61x = 177,559.84
  5. Step 5: Solve for x
    x = 177,559.84/468.61
  6. Step 6: Final answer
    x = 378.91

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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.