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Finding the Fourth Proportional to 322.64, 444.84 and 256.76

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Solution

The fourth proportional to 322.64, 444.84 and 256.76 is: 354.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.64 : 444.84 = 256.76 : x
  2. Step 2: Convert to fraction form
    322.64/444.84 = 256.76/x
  3. Step 3: Cross multiply
    322.64x = 444.84 × 256.76
  4. Step 4: Simplify right side
    322.64x = 114,217.12
  5. Step 5: Solve for x
    x = 114,217.12/322.64
  6. Step 6: Final answer
    x = 354.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.