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Finding the Fourth Proportional to 580.09, 870.19 and 169.22

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Solution

The fourth proportional to 580.09, 870.19 and 169.22 is: 253.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.09 : 870.19 = 169.22 : x
  2. Step 2: Convert to fraction form
    580.09/870.19 = 169.22/x
  3. Step 3: Cross multiply
    580.09x = 870.19 × 169.22
  4. Step 4: Simplify right side
    580.09x = 147,248.78
  5. Step 5: Solve for x
    x = 147,248.78/580.09
  6. Step 6: Final answer
    x = 253.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.