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Finding the Fourth Proportional to 480.25, 663.06 and 375.16

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Solution

The fourth proportional to 480.25, 663.06 and 375.16 is: 517.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.25 : 663.06 = 375.16 : x
  2. Step 2: Convert to fraction form
    480.25/663.06 = 375.16/x
  3. Step 3: Cross multiply
    480.25x = 663.06 × 375.16
  4. Step 4: Simplify right side
    480.25x = 248,753.59
  5. Step 5: Solve for x
    x = 248,753.59/480.25
  6. Step 6: Final answer
    x = 517.97

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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.