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Finding the Fourth Proportional to 481.60, 722.88 and 265.28

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Solution

The fourth proportional to 481.60, 722.88 and 265.28 is: 398.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.60 : 722.88 = 265.28 : x
  2. Step 2: Convert to fraction form
    481.60/722.88 = 265.28/x
  3. Step 3: Cross multiply
    481.60x = 722.88 × 265.28
  4. Step 4: Simplify right side
    481.60x = 191,765.61
  5. Step 5: Solve for x
    x = 191,765.61/481.60
  6. Step 6: Final answer
    x = 398.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.