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Finding the Fourth Proportional to 580.51, 870.84 and 169.59

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Solution

The fourth proportional to 580.51, 870.84 and 169.59 is: 254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.51 : 870.84 = 169.59 : x
  2. Step 2: Convert to fraction form
    580.51/870.84 = 169.59/x
  3. Step 3: Cross multiply
    580.51x = 870.84 × 169.59
  4. Step 4: Simplify right side
    580.51x = 147,685.76
  5. Step 5: Solve for x
    x = 147,685.76/580.51
  6. Step 6: Final answer
    x = 254.41

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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.