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Finding the Fourth Proportional to 480.76, 663.46 and 284.44

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Solution

The fourth proportional to 480.76, 663.46 and 284.44 is: 392.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.76 : 663.46 = 284.44 : x
  2. Step 2: Convert to fraction form
    480.76/663.46 = 284.44/x
  3. Step 3: Cross multiply
    480.76x = 663.46 × 284.44
  4. Step 4: Simplify right side
    480.76x = 188,714.56
  5. Step 5: Solve for x
    x = 188,714.56/480.76
  6. Step 6: Final answer
    x = 392.53

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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.