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Finding the Fourth Proportional to 581.10, 871.77 and 170.28

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Solution

The fourth proportional to 581.10, 871.77 and 170.28 is: 255.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.10 : 871.77 = 170.28 : x
  2. Step 2: Convert to fraction form
    581.10/871.77 = 170.28/x
  3. Step 3: Cross multiply
    581.10x = 871.77 × 170.28
  4. Step 4: Simplify right side
    581.10x = 148,445.00
  5. Step 5: Solve for x
    x = 148,445.00/581.10
  6. Step 6: Final answer
    x = 255.46

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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.