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Finding the Fourth Proportional to 322.17, 444.51 and 205.77

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Solution

The fourth proportional to 322.17, 444.51 and 205.77 is: 283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.17 : 444.51 = 205.77 : x
  2. Step 2: Convert to fraction form
    322.17/444.51 = 205.77/x
  3. Step 3: Cross multiply
    322.17x = 444.51 × 205.77
  4. Step 4: Simplify right side
    322.17x = 91,465.11
  5. Step 5: Solve for x
    x = 91,465.11/322.17
  6. Step 6: Final answer
    x = 283.91

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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.