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Finding the Fourth Proportional to 468.89, 702.84 and 225.08

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Solution

The fourth proportional to 468.89, 702.84 and 225.08 is: 337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.89 : 702.84 = 225.08 : x
  2. Step 2: Convert to fraction form
    468.89/702.84 = 225.08/x
  3. Step 3: Cross multiply
    468.89x = 702.84 × 225.08
  4. Step 4: Simplify right side
    468.89x = 158,195.23
  5. Step 5: Solve for x
    x = 158,195.23/468.89
  6. Step 6: Final answer
    x = 337.38

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