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Finding the Fourth Proportional to 294.84, 406.56 and 288.12

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Solution

The fourth proportional to 294.84, 406.56 and 288.12 is: 397.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.84 : 406.56 = 288.12 : x
  2. Step 2: Convert to fraction form
    294.84/406.56 = 288.12/x
  3. Step 3: Cross multiply
    294.84x = 406.56 × 288.12
  4. Step 4: Simplify right side
    294.84x = 117,138.07
  5. Step 5: Solve for x
    x = 117,138.07/294.84
  6. Step 6: Final answer
    x = 397.29

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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.