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Finding the Fourth Proportional to 417.81, 627.43 and 271.81

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Solution

The fourth proportional to 417.81, 627.43 and 271.81 is: 408.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.81 : 627.43 = 271.81 : x
  2. Step 2: Convert to fraction form
    417.81/627.43 = 271.81/x
  3. Step 3: Cross multiply
    417.81x = 627.43 × 271.81
  4. Step 4: Simplify right side
    417.81x = 170,541.75
  5. Step 5: Solve for x
    x = 170,541.75/417.81
  6. Step 6: Final answer
    x = 408.18

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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.