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Finding the Fourth Proportional to 643.60, 888.04 and 446.80

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Solution

The fourth proportional to 643.60, 888.04 and 446.80 is: 616.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.60 : 888.04 = 446.80 : x
  2. Step 2: Convert to fraction form
    643.60/888.04 = 446.80/x
  3. Step 3: Cross multiply
    643.60x = 888.04 × 446.80
  4. Step 4: Simplify right side
    643.60x = 396,776.27
  5. Step 5: Solve for x
    x = 396,776.27/643.60
  6. Step 6: Final answer
    x = 616.50

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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.