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Finding the Fourth Proportional to 446.12, 616.26 and 424.52

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Solution

The fourth proportional to 446.12, 616.26 and 424.52 is: 586.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.12 : 616.26 = 424.52 : x
  2. Step 2: Convert to fraction form
    446.12/616.26 = 424.52/x
  3. Step 3: Cross multiply
    446.12x = 616.26 × 424.52
  4. Step 4: Simplify right side
    446.12x = 261,614.70
  5. Step 5: Solve for x
    x = 261,614.70/446.12
  6. Step 6: Final answer
    x = 586.42

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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.