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Finding the Fourth Proportional to 446.50, 616.42 and 315.79

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Solution

The fourth proportional to 446.50, 616.42 and 315.79 is: 435.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.50 : 616.42 = 315.79 : x
  2. Step 2: Convert to fraction form
    446.50/616.42 = 315.79/x
  3. Step 3: Cross multiply
    446.50x = 616.42 × 315.79
  4. Step 4: Simplify right side
    446.50x = 194,659.27
  5. Step 5: Solve for x
    x = 194,659.27/446.50
  6. Step 6: Final answer
    x = 435.97

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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.