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Finding the Fourth Proportional to 417.91, 626.31 and 198.24

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Solution

The fourth proportional to 417.91, 626.31 and 198.24 is: 297.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.91 : 626.31 = 198.24 : x
  2. Step 2: Convert to fraction form
    417.91/626.31 = 198.24/x
  3. Step 3: Cross multiply
    417.91x = 626.31 × 198.24
  4. Step 4: Simplify right side
    417.91x = 124,159.69
  5. Step 5: Solve for x
    x = 124,159.69/417.91
  6. Step 6: Final answer
    x = 297.10

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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.