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Finding the Fourth Proportional to 417.59, 626.16 and 198.02

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Solution

The fourth proportional to 417.59, 626.16 and 198.02 is: 296.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.59 : 626.16 = 198.02 : x
  2. Step 2: Convert to fraction form
    417.59/626.16 = 198.02/x
  3. Step 3: Cross multiply
    417.59x = 626.16 × 198.02
  4. Step 4: Simplify right side
    417.59x = 123,989.07
  5. Step 5: Solve for x
    x = 123,989.07/417.59
  6. Step 6: Final answer
    x = 296.92

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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.