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Finding the Fourth Proportional to 581.28, 872.05 and 170.40

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Solution

The fourth proportional to 581.28, 872.05 and 170.40 is: 255.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.28 : 872.05 = 170.40 : x
  2. Step 2: Convert to fraction form
    581.28/872.05 = 170.40/x
  3. Step 3: Cross multiply
    581.28x = 872.05 × 170.40
  4. Step 4: Simplify right side
    581.28x = 148,600.48
  5. Step 5: Solve for x
    x = 148,600.48/581.28
  6. Step 6: Final answer
    x = 255.65

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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.