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Finding the Fourth Proportional to 480.48, 663 and 284.06

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Solution

The fourth proportional to 480.48, 663 and 284.06 is: 391.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.48 : 663 = 284.06 : x
  2. Step 2: Convert to fraction form
    480.48/663 = 284.06/x
  3. Step 3: Cross multiply
    480.48x = 663 × 284.06
  4. Step 4: Simplify right side
    480.48x = 188,331.78
  5. Step 5: Solve for x
    x = 188,331.78/480.48
  6. Step 6: Final answer
    x = 391.97

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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.