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Finding the Fourth Proportional to 458.67, 688.07 and 198.75

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Solution

The fourth proportional to 458.67, 688.07 and 198.75 is: 298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.67 : 688.07 = 198.75 : x
  2. Step 2: Convert to fraction form
    458.67/688.07 = 198.75/x
  3. Step 3: Cross multiply
    458.67x = 688.07 × 198.75
  4. Step 4: Simplify right side
    458.67x = 136,753.91
  5. Step 5: Solve for x
    x = 136,753.91/458.67
  6. Step 6: Final answer
    x = 298.15

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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.