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Finding the Fourth Proportional to 490.92, 731.45 and 460.14

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Solution

The fourth proportional to 490.92, 731.45 and 460.14 is: 685.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.92 : 731.45 = 460.14 : x
  2. Step 2: Convert to fraction form
    490.92/731.45 = 460.14/x
  3. Step 3: Cross multiply
    490.92x = 731.45 × 460.14
  4. Step 4: Simplify right side
    490.92x = 336,569.40
  5. Step 5: Solve for x
    x = 336,569.40/490.92
  6. Step 6: Final answer
    x = 685.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.