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Finding the Fourth Proportional to 580.10, 870.18 and 255.42

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Solution

The fourth proportional to 580.10, 870.18 and 255.42 is: 383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.10 : 870.18 = 255.42 : x
  2. Step 2: Convert to fraction form
    580.10/870.18 = 255.42/x
  3. Step 3: Cross multiply
    580.10x = 870.18 × 255.42
  4. Step 4: Simplify right side
    580.10x = 222,260.42
  5. Step 5: Solve for x
    x = 222,260.42/580.10
  6. Step 6: Final answer
    x = 383.14

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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.