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Finding the Fourth Proportional to 294.34, 406.68 and 232.30

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Solution

The fourth proportional to 294.34, 406.68 and 232.30 is: 320.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.34 : 406.68 = 232.30 : x
  2. Step 2: Convert to fraction form
    294.34/406.68 = 232.30/x
  3. Step 3: Cross multiply
    294.34x = 406.68 × 232.30
  4. Step 4: Simplify right side
    294.34x = 94,471.76
  5. Step 5: Solve for x
    x = 94,471.76/294.34
  6. Step 6: Final answer
    x = 320.96

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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.