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Finding the Fourth Proportional to 580.05, 870.20 and 169.15

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Solution

The fourth proportional to 580.05, 870.20 and 169.15 is: 253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.05 : 870.20 = 169.15 : x
  2. Step 2: Convert to fraction form
    580.05/870.20 = 169.15/x
  3. Step 3: Cross multiply
    580.05x = 870.20 × 169.15
  4. Step 4: Simplify right side
    580.05x = 147,196.75
  5. Step 5: Solve for x
    x = 147,196.75/580.05
  6. Step 6: Final answer
    x = 253.77

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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.