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Finding the Fourth Proportional to 580.18, 870.38 and 255.55

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Solution

The fourth proportional to 580.18, 870.38 and 255.55 is: 383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.18 : 870.38 = 255.55 : x
  2. Step 2: Convert to fraction form
    580.18/870.38 = 255.55/x
  3. Step 3: Cross multiply
    580.18x = 870.38 × 255.55
  4. Step 4: Simplify right side
    580.18x = 222,423.77
  5. Step 5: Solve for x
    x = 222,423.77/580.18
  6. Step 6: Final answer
    x = 383.37

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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.