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Finding the Fourth Proportional to 322.54, 444.76 and 248.69

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Solution

The fourth proportional to 322.54, 444.76 and 248.69 is: 342.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.54 : 444.76 = 248.69 : x
  2. Step 2: Convert to fraction form
    322.54/444.76 = 248.69/x
  3. Step 3: Cross multiply
    322.54x = 444.76 × 248.69
  4. Step 4: Simplify right side
    322.54x = 110,607.85
  5. Step 5: Solve for x
    x = 110,607.85/322.54
  6. Step 6: Final answer
    x = 342.93

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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.