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Finding the Fourth Proportional to 417.54, 627.54 and 274.17

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Solution

The fourth proportional to 417.54, 627.54 and 274.17 is: 412.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.54 : 627.54 = 274.17 : x
  2. Step 2: Convert to fraction form
    417.54/627.54 = 274.17/x
  3. Step 3: Cross multiply
    417.54x = 627.54 × 274.17
  4. Step 4: Simplify right side
    417.54x = 172,052.64
  5. Step 5: Solve for x
    x = 172,052.64/417.54
  6. Step 6: Final answer
    x = 412.06

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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.