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Finding the Fourth Proportional to 872.72, 1,309.16 and 256.43

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Solution

The fourth proportional to 872.72, 1,309.16 and 256.43 is: 384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.72 : 1,309.16 = 256.43 : x
  2. Step 2: Convert to fraction form
    872.72/1,309.16 = 256.43/x
  3. Step 3: Cross multiply
    872.72x = 1,309.16 × 256.43
  4. Step 4: Simplify right side
    872.72x = 335,700.07
  5. Step 5: Solve for x
    x = 335,700.07/872.72
  6. Step 6: Final answer
    x = 384.66

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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.