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Finding the Fourth Proportional to 580.64, 871.24 and 256.10

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Solution

The fourth proportional to 580.64, 871.24 and 256.10 is: 384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.64 : 871.24 = 256.10 : x
  2. Step 2: Convert to fraction form
    580.64/871.24 = 256.10/x
  3. Step 3: Cross multiply
    580.64x = 871.24 × 256.10
  4. Step 4: Simplify right side
    580.64x = 223,124.56
  5. Step 5: Solve for x
    x = 223,124.56/580.64
  6. Step 6: Final answer
    x = 384.27

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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.