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Finding the Fourth Proportional to 294.66, 407.34 and 232.92

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Solution

The fourth proportional to 294.66, 407.34 and 232.92 is: 321.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.66 : 407.34 = 232.92 : x
  2. Step 2: Convert to fraction form
    294.66/407.34 = 232.92/x
  3. Step 3: Cross multiply
    294.66x = 407.34 × 232.92
  4. Step 4: Simplify right side
    294.66x = 94,877.63
  5. Step 5: Solve for x
    x = 94,877.63/294.66
  6. Step 6: Final answer
    x = 321.99

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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.