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Finding the Fourth Proportional to 580.46, 870.65 and 169.61

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Solution

The fourth proportional to 580.46, 870.65 and 169.61 is: 254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.46 : 870.65 = 169.61 : x
  2. Step 2: Convert to fraction form
    580.46/870.65 = 169.61/x
  3. Step 3: Cross multiply
    580.46x = 870.65 × 169.61
  4. Step 4: Simplify right side
    580.46x = 147,665.75
  5. Step 5: Solve for x
    x = 147,665.75/580.46
  6. Step 6: Final answer
    x = 254.40

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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.