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Finding the Fourth Proportional to 872.32, 1,308.64 and 256

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Solution

The fourth proportional to 872.32, 1,308.64 and 256 is: 384.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.32 : 1,308.64 = 256 : x
  2. Step 2: Convert to fraction form
    872.32/1,308.64 = 256/x
  3. Step 3: Cross multiply
    872.32x = 1,308.64 × 256
  4. Step 4: Simplify right side
    872.32x = 335,011.84
  5. Step 5: Solve for x
    x = 335,011.84/872.32
  6. Step 6: Final answer
    x = 384.05

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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.