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Finding the Fourth Proportional to 294.66, 406.87 and 263.52

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Solution

The fourth proportional to 294.66, 406.87 and 263.52 is: 363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.66 : 406.87 = 263.52 : x
  2. Step 2: Convert to fraction form
    294.66/406.87 = 263.52/x
  3. Step 3: Cross multiply
    294.66x = 406.87 × 263.52
  4. Step 4: Simplify right side
    294.66x = 107,218.38
  5. Step 5: Solve for x
    x = 107,218.38/294.66
  6. Step 6: Final answer
    x = 363.87

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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.