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Finding the Fourth Proportional to 480.13, 663.44 and 414.52

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Solution

The fourth proportional to 480.13, 663.44 and 414.52 is: 572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.13 : 663.44 = 414.52 : x
  2. Step 2: Convert to fraction form
    480.13/663.44 = 414.52/x
  3. Step 3: Cross multiply
    480.13x = 663.44 × 414.52
  4. Step 4: Simplify right side
    480.13x = 275,009.15
  5. Step 5: Solve for x
    x = 275,009.15/480.13
  6. Step 6: Final answer
    x = 572.78

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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.