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Finding the Fourth Proportional to 458.72, 688.16 and 198.88

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Solution

The fourth proportional to 458.72, 688.16 and 198.88 is: 298.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.72 : 688.16 = 198.88 : x
  2. Step 2: Convert to fraction form
    458.72/688.16 = 198.88/x
  3. Step 3: Cross multiply
    458.72x = 688.16 × 198.88
  4. Step 4: Simplify right side
    458.72x = 136,861.26
  5. Step 5: Solve for x
    x = 136,861.26/458.72
  6. Step 6: Final answer
    x = 298.35

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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.