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Finding the Fourth Proportional to 480.75, 663.14 and 284.33

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Solution

The fourth proportional to 480.75, 663.14 and 284.33 is: 392.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.75 : 663.14 = 284.33 : x
  2. Step 2: Convert to fraction form
    480.75/663.14 = 284.33/x
  3. Step 3: Cross multiply
    480.75x = 663.14 × 284.33
  4. Step 4: Simplify right side
    480.75x = 188,545.86
  5. Step 5: Solve for x
    x = 188,545.86/480.75
  6. Step 6: Final answer
    x = 392.19

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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.