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Finding the Fourth Proportional to 458.10, 687.09 and 198

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Solution

The fourth proportional to 458.10, 687.09 and 198 is: 296.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.10 : 687.09 = 198 : x
  2. Step 2: Convert to fraction form
    458.10/687.09 = 198/x
  3. Step 3: Cross multiply
    458.10x = 687.09 × 198
  4. Step 4: Simplify right side
    458.10x = 136,043.82
  5. Step 5: Solve for x
    x = 136,043.82/458.10
  6. Step 6: Final answer
    x = 296.97

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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.