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Finding the Fourth Proportional to 490.08, 731.60 and 458.16

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Solution

The fourth proportional to 490.08, 731.60 and 458.16 is: 683.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.08 : 731.60 = 458.16 : x
  2. Step 2: Convert to fraction form
    490.08/731.60 = 458.16/x
  3. Step 3: Cross multiply
    490.08x = 731.60 × 458.16
  4. Step 4: Simplify right side
    490.08x = 335,189.86
  5. Step 5: Solve for x
    x = 335,189.86/490.08
  6. Step 6: Final answer
    x = 683.95

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Why These Related Problems?

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