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Finding the Fourth Proportional to 294.94, 406.17 and 288.82

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Solution

The fourth proportional to 294.94, 406.17 and 288.82 is: 397.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.94 : 406.17 = 288.82 : x
  2. Step 2: Convert to fraction form
    294.94/406.17 = 288.82/x
  3. Step 3: Cross multiply
    294.94x = 406.17 × 288.82
  4. Step 4: Simplify right side
    294.94x = 117,310.02
  5. Step 5: Solve for x
    x = 117,310.02/294.94
  6. Step 6: Final answer
    x = 397.74

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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.