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Finding the Fourth Proportional to 322.92, 486.32 and 282.84

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Solution

The fourth proportional to 322.92, 486.32 and 282.84 is: 425.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.92 : 486.32 = 282.84 : x
  2. Step 2: Convert to fraction form
    322.92/486.32 = 282.84/x
  3. Step 3: Cross multiply
    322.92x = 486.32 × 282.84
  4. Step 4: Simplify right side
    322.92x = 137,549.33
  5. Step 5: Solve for x
    x = 137,549.33/322.92
  6. Step 6: Final answer
    x = 425.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.