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Finding the Fourth Proportional to 417.96, 627.31 and 223.12

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Solution

The fourth proportional to 417.96, 627.31 and 223.12 is: 334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.96 : 627.31 = 223.12 : x
  2. Step 2: Convert to fraction form
    417.96/627.31 = 223.12/x
  3. Step 3: Cross multiply
    417.96x = 627.31 × 223.12
  4. Step 4: Simplify right side
    417.96x = 139,963.28
  5. Step 5: Solve for x
    x = 139,963.28/417.96
  6. Step 6: Final answer
    x = 334.87

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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.