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Finding the Fourth Proportional to 581.37, 872.17 and 256.73

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Solution

The fourth proportional to 581.37, 872.17 and 256.73 is: 385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.37 : 872.17 = 256.73 : x
  2. Step 2: Convert to fraction form
    581.37/872.17 = 256.73/x
  3. Step 3: Cross multiply
    581.37x = 872.17 × 256.73
  4. Step 4: Simplify right side
    581.37x = 223,913.74
  5. Step 5: Solve for x
    x = 223,913.74/581.37
  6. Step 6: Final answer
    x = 385.15

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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.