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Finding the Fourth Proportional to 458.34, 686.98 and 198.46

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Solution

The fourth proportional to 458.34, 686.98 and 198.46 is: 297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.34 : 686.98 = 198.46 : x
  2. Step 2: Convert to fraction form
    458.34/686.98 = 198.46/x
  3. Step 3: Cross multiply
    458.34x = 686.98 × 198.46
  4. Step 4: Simplify right side
    458.34x = 136,338.05
  5. Step 5: Solve for x
    x = 136,338.05/458.34
  6. Step 6: Final answer
    x = 297.46

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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.