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Finding the Fourth Proportional to 460.70, 636.18 and 292.70

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Solution

The fourth proportional to 460.70, 636.18 and 292.70 is: 404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.70 : 636.18 = 292.70 : x
  2. Step 2: Convert to fraction form
    460.70/636.18 = 292.70/x
  3. Step 3: Cross multiply
    460.70x = 636.18 × 292.70
  4. Step 4: Simplify right side
    460.70x = 186,211.70
  5. Step 5: Solve for x
    x = 186,211.70/460.70
  6. Step 6: Final answer
    x = 404.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.