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Finding the Fourth Proportional to 322.02, 444.15 and 295.87

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Solution

The fourth proportional to 322.02, 444.15 and 295.87 is: 408.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.02 : 444.15 = 295.87 : x
  2. Step 2: Convert to fraction form
    322.02/444.15 = 295.87/x
  3. Step 3: Cross multiply
    322.02x = 444.15 × 295.87
  4. Step 4: Simplify right side
    322.02x = 131,410.66
  5. Step 5: Solve for x
    x = 131,410.66/322.02
  6. Step 6: Final answer
    x = 408.08

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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.