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Finding the Fourth Proportional to 580.94, 871.20 and 256.13

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Solution

The fourth proportional to 580.94, 871.20 and 256.13 is: 384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.94 : 871.20 = 256.13 : x
  2. Step 2: Convert to fraction form
    580.94/871.20 = 256.13/x
  3. Step 3: Cross multiply
    580.94x = 871.20 × 256.13
  4. Step 4: Simplify right side
    580.94x = 223,136.10
  5. Step 5: Solve for x
    x = 223,136.10/580.94
  6. Step 6: Final answer
    x = 384.10

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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.