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Finding the Fourth Proportional to 322.20, 479.96 and 294.12

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Solution

The fourth proportional to 322.20, 479.96 and 294.12 is: 438.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.20 : 479.96 = 294.12 : x
  2. Step 2: Convert to fraction form
    322.20/479.96 = 294.12/x
  3. Step 3: Cross multiply
    322.20x = 479.96 × 294.12
  4. Step 4: Simplify right side
    322.20x = 141,164.36
  5. Step 5: Solve for x
    x = 141,164.36/322.20
  6. Step 6: Final answer
    x = 438.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.