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Finding the Fourth Proportional to 294.47, 406.68 and 229.25

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Solution

The fourth proportional to 294.47, 406.68 and 229.25 is: 316.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.47 : 406.68 = 229.25 : x
  2. Step 2: Convert to fraction form
    294.47/406.68 = 229.25/x
  3. Step 3: Cross multiply
    294.47x = 406.68 × 229.25
  4. Step 4: Simplify right side
    294.47x = 93,231.39
  5. Step 5: Solve for x
    x = 93,231.39/294.47
  6. Step 6: Final answer
    x = 316.61

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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.