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Finding the Fourth Proportional to 580.20, 870.20 and 169.36

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Solution

The fourth proportional to 580.20, 870.20 and 169.36 is: 254.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.20 : 870.20 = 169.36 : x
  2. Step 2: Convert to fraction form
    580.20/870.20 = 169.36/x
  3. Step 3: Cross multiply
    580.20x = 870.20 × 169.36
  4. Step 4: Simplify right side
    580.20x = 147,377.07
  5. Step 5: Solve for x
    x = 147,377.07/580.20
  6. Step 6: Final answer
    x = 254.01

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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.