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Finding the Fourth Proportional to 468.56, 702.51 and 252.29

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Solution

The fourth proportional to 468.56, 702.51 and 252.29 is: 378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.56 : 702.51 = 252.29 : x
  2. Step 2: Convert to fraction form
    468.56/702.51 = 252.29/x
  3. Step 3: Cross multiply
    468.56x = 702.51 × 252.29
  4. Step 4: Simplify right side
    468.56x = 177,232.74
  5. Step 5: Solve for x
    x = 177,232.74/468.56
  6. Step 6: Final answer
    x = 378.25

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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.