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Finding the Fourth Proportional to 468.67, 702.52 and 225.37

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Solution

The fourth proportional to 468.67, 702.52 and 225.37 is: 337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.67 : 702.52 = 225.37 : x
  2. Step 2: Convert to fraction form
    468.67/702.52 = 225.37/x
  3. Step 3: Cross multiply
    468.67x = 702.52 × 225.37
  4. Step 4: Simplify right side
    468.67x = 158,326.93
  5. Step 5: Solve for x
    x = 158,326.93/468.67
  6. Step 6: Final answer
    x = 337.82

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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.