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Finding the Fourth Proportional to 480.93, 663.45 and 284.40

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Solution

The fourth proportional to 480.93, 663.45 and 284.40 is: 392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.93 : 663.45 = 284.40 : x
  2. Step 2: Convert to fraction form
    480.93/663.45 = 284.40/x
  3. Step 3: Cross multiply
    480.93x = 663.45 × 284.40
  4. Step 4: Simplify right side
    480.93x = 188,685.18
  5. Step 5: Solve for x
    x = 188,685.18/480.93
  6. Step 6: Final answer
    x = 392.33

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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.