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Finding the Fourth Proportional to 417.16, 627.72 and 344.56

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Solution

The fourth proportional to 417.16, 627.72 and 344.56 is: 518.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.16 : 627.72 = 344.56 : x
  2. Step 2: Convert to fraction form
    417.16/627.72 = 344.56/x
  3. Step 3: Cross multiply
    417.16x = 627.72 × 344.56
  4. Step 4: Simplify right side
    417.16x = 216,287.20
  5. Step 5: Solve for x
    x = 216,287.20/417.16
  6. Step 6: Final answer
    x = 518.48

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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.