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Finding the Fourth Proportional to 294.97, 407.04 and 225.08

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Solution

The fourth proportional to 294.97, 407.04 and 225.08 is: 310.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.97 : 407.04 = 225.08 : x
  2. Step 2: Convert to fraction form
    294.97/407.04 = 225.08/x
  3. Step 3: Cross multiply
    294.97x = 407.04 × 225.08
  4. Step 4: Simplify right side
    294.97x = 91,614.53
  5. Step 5: Solve for x
    x = 91,614.53/294.97
  6. Step 6: Final answer
    x = 310.59

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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.