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Finding the Fourth Proportional to 458.69, 687.96 and 198.55

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Solution

The fourth proportional to 458.69, 687.96 and 198.55 is: 297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.69 : 687.96 = 198.55 : x
  2. Step 2: Convert to fraction form
    458.69/687.96 = 198.55/x
  3. Step 3: Cross multiply
    458.69x = 687.96 × 198.55
  4. Step 4: Simplify right side
    458.69x = 136,592.74
  5. Step 5: Solve for x
    x = 136,592.74/458.69
  6. Step 6: Final answer
    x = 297.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.