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Finding the Fourth Proportional to 322.29, 444.50 and 280.77

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Solution

The fourth proportional to 322.29, 444.50 and 280.77 is: 387.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.29 : 444.50 = 280.77 : x
  2. Step 2: Convert to fraction form
    322.29/444.50 = 280.77/x
  3. Step 3: Cross multiply
    322.29x = 444.50 × 280.77
  4. Step 4: Simplify right side
    322.29x = 124,802.75
  5. Step 5: Solve for x
    x = 124,802.75/322.29
  6. Step 6: Final answer
    x = 387.24

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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.