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Finding the Fourth Proportional to 466.97, 698.76 and 402.72

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Solution

The fourth proportional to 466.97, 698.76 and 402.72 is: 602.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.97 : 698.76 = 402.72 : x
  2. Step 2: Convert to fraction form
    466.97/698.76 = 402.72/x
  3. Step 3: Cross multiply
    466.97x = 698.76 × 402.72
  4. Step 4: Simplify right side
    466.97x = 281,404.63
  5. Step 5: Solve for x
    x = 281,404.63/466.97
  6. Step 6: Final answer
    x = 602.62

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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.