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Finding the Fourth Proportional to 458.90, 688.50 and 198.80

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Solution

The fourth proportional to 458.90, 688.50 and 198.80 is: 298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.90 : 688.50 = 198.80 : x
  2. Step 2: Convert to fraction form
    458.90/688.50 = 198.80/x
  3. Step 3: Cross multiply
    458.90x = 688.50 × 198.80
  4. Step 4: Simplify right side
    458.90x = 136,873.80
  5. Step 5: Solve for x
    x = 136,873.80/458.90
  6. Step 6: Final answer
    x = 298.26

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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.