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Finding the Fourth Proportional to 322.74, 444.33 and 256.86

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Solution

The fourth proportional to 322.74, 444.33 and 256.86 is: 353.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.74 : 444.33 = 256.86 : x
  2. Step 2: Convert to fraction form
    322.74/444.33 = 256.86/x
  3. Step 3: Cross multiply
    322.74x = 444.33 × 256.86
  4. Step 4: Simplify right side
    322.74x = 114,130.60
  5. Step 5: Solve for x
    x = 114,130.60/322.74
  6. Step 6: Final answer
    x = 353.63

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