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Finding the Fourth Proportional to 468.72, 702.63 and 225.45

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Solution

The fourth proportional to 468.72, 702.63 and 225.45 is: 337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.72 : 702.63 = 225.45 : x
  2. Step 2: Convert to fraction form
    468.72/702.63 = 225.45/x
  3. Step 3: Cross multiply
    468.72x = 702.63 × 225.45
  4. Step 4: Simplify right side
    468.72x = 158,407.93
  5. Step 5: Solve for x
    x = 158,407.93/468.72
  6. Step 6: Final answer
    x = 337.96

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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.