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Finding the Fourth Proportional to 488.08, 731.64 and 199.24

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Solution

The fourth proportional to 488.08, 731.64 and 199.24 is: 298.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.08 : 731.64 = 199.24 : x
  2. Step 2: Convert to fraction form
    488.08/731.64 = 199.24/x
  3. Step 3: Cross multiply
    488.08x = 731.64 × 199.24
  4. Step 4: Simplify right side
    488.08x = 145,771.95
  5. Step 5: Solve for x
    x = 145,771.95/488.08
  6. Step 6: Final answer
    x = 298.66

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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.