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Finding the Fourth Proportional to 580.24, 870.68 and 255.60

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Solution

The fourth proportional to 580.24, 870.68 and 255.60 is: 383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.24 : 870.68 = 255.60 : x
  2. Step 2: Convert to fraction form
    580.24/870.68 = 255.60/x
  3. Step 3: Cross multiply
    580.24x = 870.68 × 255.60
  4. Step 4: Simplify right side
    580.24x = 222,545.81
  5. Step 5: Solve for x
    x = 222,545.81/580.24
  6. Step 6: Final answer
    x = 383.54

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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.