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Finding the Fourth Proportional to 417.95, 627.17 and 212.51

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Solution

The fourth proportional to 417.95, 627.17 and 212.51 is: 318.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.95 : 627.17 = 212.51 : x
  2. Step 2: Convert to fraction form
    417.95/627.17 = 212.51/x
  3. Step 3: Cross multiply
    417.95x = 627.17 × 212.51
  4. Step 4: Simplify right side
    417.95x = 133,279.90
  5. Step 5: Solve for x
    x = 133,279.90/417.95
  6. Step 6: Final answer
    x = 318.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.