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Finding the Fourth Proportional to 580.10, 870.19 and 255.38

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Solution

The fourth proportional to 580.10, 870.19 and 255.38 is: 383.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.10 : 870.19 = 255.38 : x
  2. Step 2: Convert to fraction form
    580.10/870.19 = 255.38/x
  3. Step 3: Cross multiply
    580.10x = 870.19 × 255.38
  4. Step 4: Simplify right side
    580.10x = 222,224.13
  5. Step 5: Solve for x
    x = 222,224.13/580.10
  6. Step 6: Final answer
    x = 383.08

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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.