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Finding the Fourth Proportional to 417.96, 627.85 and 212.47

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Solution

The fourth proportional to 417.96, 627.85 and 212.47 is: 319.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.96 : 627.85 = 212.47 : x
  2. Step 2: Convert to fraction form
    417.96/627.85 = 212.47/x
  3. Step 3: Cross multiply
    417.96x = 627.85 × 212.47
  4. Step 4: Simplify right side
    417.96x = 133,399.29
  5. Step 5: Solve for x
    x = 133,399.29/417.96
  6. Step 6: Final answer
    x = 319.17

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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.