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Finding the Fourth Proportional to 446.66, 616.66 and 353.78

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Solution

The fourth proportional to 446.66, 616.66 and 353.78 is: 488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.66 : 616.66 = 353.78 : x
  2. Step 2: Convert to fraction form
    446.66/616.66 = 353.78/x
  3. Step 3: Cross multiply
    446.66x = 616.66 × 353.78
  4. Step 4: Simplify right side
    446.66x = 218,158.01
  5. Step 5: Solve for x
    x = 218,158.01/446.66
  6. Step 6: Final answer
    x = 488.43

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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.