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Finding the Fourth Proportional to 468.54, 702.30 and 224.76

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Solution

The fourth proportional to 468.54, 702.30 and 224.76 is: 336.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.54 : 702.30 = 224.76 : x
  2. Step 2: Convert to fraction form
    468.54/702.30 = 224.76/x
  3. Step 3: Cross multiply
    468.54x = 702.30 × 224.76
  4. Step 4: Simplify right side
    468.54x = 157,848.95
  5. Step 5: Solve for x
    x = 157,848.95/468.54
  6. Step 6: Final answer
    x = 336.90

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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.