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Finding the Fourth Proportional to 294.33, 441.49 and 77.93

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Solution

The fourth proportional to 294.33, 441.49 and 77.93 is: 116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.33 : 441.49 = 77.93 : x
  2. Step 2: Convert to fraction form
    294.33/441.49 = 77.93/x
  3. Step 3: Cross multiply
    294.33x = 441.49 × 77.93
  4. Step 4: Simplify right side
    294.33x = 34,403.11
  5. Step 5: Solve for x
    x = 34,403.11/294.33
  6. Step 6: Final answer
    x = 116.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.