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Finding the Fourth Proportional to 602.62, 902.98 and 466

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Solution

The fourth proportional to 602.62, 902.98 and 466 is: 698.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.62 : 902.98 = 466 : x
  2. Step 2: Convert to fraction form
    602.62/902.98 = 466/x
  3. Step 3: Cross multiply
    602.62x = 902.98 × 466
  4. Step 4: Simplify right side
    602.62x = 420,788.68
  5. Step 5: Solve for x
    x = 420,788.68/602.62
  6. Step 6: Final answer
    x = 698.27

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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.