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Finding the Fourth Proportional to 417.54, 626.40 and 198.24

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Solution

The fourth proportional to 417.54, 626.40 and 198.24 is: 297.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.54 : 626.40 = 198.24 : x
  2. Step 2: Convert to fraction form
    417.54/626.40 = 198.24/x
  3. Step 3: Cross multiply
    417.54x = 626.40 × 198.24
  4. Step 4: Simplify right side
    417.54x = 124,177.54
  5. Step 5: Solve for x
    x = 124,177.54/417.54
  6. Step 6: Final answer
    x = 297.40

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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.