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Finding the Fourth Proportional to 322.08, 480.90 and 285.72

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Solution

The fourth proportional to 322.08, 480.90 and 285.72 is: 426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.08 : 480.90 = 285.72 : x
  2. Step 2: Convert to fraction form
    322.08/480.90 = 285.72/x
  3. Step 3: Cross multiply
    322.08x = 480.90 × 285.72
  4. Step 4: Simplify right side
    322.08x = 137,402.75
  5. Step 5: Solve for x
    x = 137,402.75/322.08
  6. Step 6: Final answer
    x = 426.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.