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Finding the Fourth Proportional to 580.51, 871.08 and 256.12

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Solution

The fourth proportional to 580.51, 871.08 and 256.12 is: 384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.51 : 871.08 = 256.12 : x
  2. Step 2: Convert to fraction form
    580.51/871.08 = 256.12/x
  3. Step 3: Cross multiply
    580.51x = 871.08 × 256.12
  4. Step 4: Simplify right side
    580.51x = 223,101.01
  5. Step 5: Solve for x
    x = 223,101.01/580.51
  6. Step 6: Final answer
    x = 384.32

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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.