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Finding the Fourth Proportional to 872.92, 1,309.44 and 256.64

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Solution

The fourth proportional to 872.92, 1,309.44 and 256.64 is: 384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.92 : 1,309.44 = 256.64 : x
  2. Step 2: Convert to fraction form
    872.92/1,309.44 = 256.64/x
  3. Step 3: Cross multiply
    872.92x = 1,309.44 × 256.64
  4. Step 4: Simplify right side
    872.92x = 336,054.68
  5. Step 5: Solve for x
    x = 336,054.68/872.92
  6. Step 6: Final answer
    x = 384.98

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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.