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Finding the Fourth Proportional to 417.90, 627.02 and 174.60

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Solution

The fourth proportional to 417.90, 627.02 and 174.60 is: 261.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.90 : 627.02 = 174.60 : x
  2. Step 2: Convert to fraction form
    417.90/627.02 = 174.60/x
  3. Step 3: Cross multiply
    417.90x = 627.02 × 174.60
  4. Step 4: Simplify right side
    417.90x = 109,476.82
  5. Step 5: Solve for x
    x = 109,476.82/417.90
  6. Step 6: Final answer
    x = 261.97

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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.