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Finding the Fourth Proportional to 417.63, 626.43 and 143.56

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Solution

The fourth proportional to 417.63, 626.43 and 143.56 is: 215.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.63 : 626.43 = 143.56 : x
  2. Step 2: Convert to fraction form
    417.63/626.43 = 143.56/x
  3. Step 3: Cross multiply
    417.63x = 626.43 × 143.56
  4. Step 4: Simplify right side
    417.63x = 89,930.29
  5. Step 5: Solve for x
    x = 89,930.29/417.63
  6. Step 6: Final answer
    x = 215.33

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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.