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Finding the Fourth Proportional to 468.38, 702.88 and 225.38

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Solution

The fourth proportional to 468.38, 702.88 and 225.38 is: 338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.38 : 702.88 = 225.38 : x
  2. Step 2: Convert to fraction form
    468.38/702.88 = 225.38/x
  3. Step 3: Cross multiply
    468.38x = 702.88 × 225.38
  4. Step 4: Simplify right side
    468.38x = 158,416.29
  5. Step 5: Solve for x
    x = 158,416.29/468.38
  6. Step 6: Final answer
    x = 338.22

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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.