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Finding the Fourth Proportional to 417.56, 626.57 and 170.87

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Solution

The fourth proportional to 417.56, 626.57 and 170.87 is: 256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.56 : 626.57 = 170.87 : x
  2. Step 2: Convert to fraction form
    417.56/626.57 = 170.87/x
  3. Step 3: Cross multiply
    417.56x = 626.57 × 170.87
  4. Step 4: Simplify right side
    417.56x = 107,058.03
  5. Step 5: Solve for x
    x = 107,058.03/417.56
  6. Step 6: Final answer
    x = 256.39

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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.