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Finding the Fourth Proportional to 417.84, 627.17 and 174.44

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Solution

The fourth proportional to 417.84, 627.17 and 174.44 is: 261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.84 : 627.17 = 174.44 : x
  2. Step 2: Convert to fraction form
    417.84/627.17 = 174.44/x
  3. Step 3: Cross multiply
    417.84x = 627.17 × 174.44
  4. Step 4: Simplify right side
    417.84x = 109,399.53
  5. Step 5: Solve for x
    x = 109,399.53/417.84
  6. Step 6: Final answer
    x = 261.82

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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.