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Finding the Fourth Proportional to 446.52, 616.27 and 249.99

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Solution

The fourth proportional to 446.52, 616.27 and 249.99 is: 345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.52 : 616.27 = 249.99 : x
  2. Step 2: Convert to fraction form
    446.52/616.27 = 249.99/x
  3. Step 3: Cross multiply
    446.52x = 616.27 × 249.99
  4. Step 4: Simplify right side
    446.52x = 154,061.34
  5. Step 5: Solve for x
    x = 154,061.34/446.52
  6. Step 6: Final answer
    x = 345.03

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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.