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Finding the Fourth Proportional to 294.50, 406.62 and 239.15

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Solution

The fourth proportional to 294.50, 406.62 and 239.15 is: 330.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.50 : 406.62 = 239.15 : x
  2. Step 2: Convert to fraction form
    294.50/406.62 = 239.15/x
  3. Step 3: Cross multiply
    294.50x = 406.62 × 239.15
  4. Step 4: Simplify right side
    294.50x = 97,243.17
  5. Step 5: Solve for x
    x = 97,243.17/294.50
  6. Step 6: Final answer
    x = 330.20

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Why These Related Problems?

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