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Finding the Fourth Proportional to 458.61, 688.01 and 198.61

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Solution

The fourth proportional to 458.61, 688.01 and 198.61 is: 297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.61 : 688.01 = 198.61 : x
  2. Step 2: Convert to fraction form
    458.61/688.01 = 198.61/x
  3. Step 3: Cross multiply
    458.61x = 688.01 × 198.61
  4. Step 4: Simplify right side
    458.61x = 136,645.67
  5. Step 5: Solve for x
    x = 136,645.67/458.61
  6. Step 6: Final answer
    x = 297.96

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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.