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Finding the Fourth Proportional to 580.08, 870.24 and 255.27

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Solution

The fourth proportional to 580.08, 870.24 and 255.27 is: 382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.08 : 870.24 = 255.27 : x
  2. Step 2: Convert to fraction form
    580.08/870.24 = 255.27/x
  3. Step 3: Cross multiply
    580.08x = 870.24 × 255.27
  4. Step 4: Simplify right side
    580.08x = 222,146.16
  5. Step 5: Solve for x
    x = 222,146.16/580.08
  6. Step 6: Final answer
    x = 382.96

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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.