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Finding the Fourth Proportional to 458.03, 687.23 and 198.08

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Solution

The fourth proportional to 458.03, 687.23 and 198.08 is: 297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.03 : 687.23 = 198.08 : x
  2. Step 2: Convert to fraction form
    458.03/687.23 = 198.08/x
  3. Step 3: Cross multiply
    458.03x = 687.23 × 198.08
  4. Step 4: Simplify right side
    458.03x = 136,122.09
  5. Step 5: Solve for x
    x = 136,122.09/458.03
  6. Step 6: Final answer
    x = 297.19

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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.