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Finding the Fourth Proportional to 417.96, 627.21 and 174.69

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Solution

The fourth proportional to 417.96, 627.21 and 174.69 is: 262.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.96 : 627.21 = 174.69 : x
  2. Step 2: Convert to fraction form
    417.96/627.21 = 174.69/x
  3. Step 3: Cross multiply
    417.96x = 627.21 × 174.69
  4. Step 4: Simplify right side
    417.96x = 109,567.31
  5. Step 5: Solve for x
    x = 109,567.31/417.96
  6. Step 6: Final answer
    x = 262.15

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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.