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Finding the Fourth Proportional to 446.94, 616.30 and 353.53

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Solution

The fourth proportional to 446.94, 616.30 and 353.53 is: 487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.94 : 616.30 = 353.53 : x
  2. Step 2: Convert to fraction form
    446.94/616.30 = 353.53/x
  3. Step 3: Cross multiply
    446.94x = 616.30 × 353.53
  4. Step 4: Simplify right side
    446.94x = 217,880.54
  5. Step 5: Solve for x
    x = 217,880.54/446.94
  6. Step 6: Final answer
    x = 487.50

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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.