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Finding the Fourth Proportional to 480.78, 663.52 and 284.32

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Solution

The fourth proportional to 480.78, 663.52 and 284.32 is: 392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.78 : 663.52 = 284.32 : x
  2. Step 2: Convert to fraction form
    480.78/663.52 = 284.32/x
  3. Step 3: Cross multiply
    480.78x = 663.52 × 284.32
  4. Step 4: Simplify right side
    480.78x = 188,652.01
  5. Step 5: Solve for x
    x = 188,652.01/480.78
  6. Step 6: Final answer
    x = 392.39

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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.