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Finding the Fourth Proportional to 417.56, 626.54 and 255.15

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Solution

The fourth proportional to 417.56, 626.54 and 255.15 is: 382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.56 : 626.54 = 255.15 : x
  2. Step 2: Convert to fraction form
    417.56/626.54 = 255.15/x
  3. Step 3: Cross multiply
    417.56x = 626.54 × 255.15
  4. Step 4: Simplify right side
    417.56x = 159,860.41
  5. Step 5: Solve for x
    x = 159,860.41/417.56
  6. Step 6: Final answer
    x = 382.85

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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.