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Finding the Fourth Proportional to 446.97, 616.69 and 307.25

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Solution

The fourth proportional to 446.97, 616.69 and 307.25 is: 423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.97 : 616.69 = 307.25 : x
  2. Step 2: Convert to fraction form
    446.97/616.69 = 307.25/x
  3. Step 3: Cross multiply
    446.97x = 616.69 × 307.25
  4. Step 4: Simplify right side
    446.97x = 189,473.57
  5. Step 5: Solve for x
    x = 189,473.57/446.97
  6. Step 6: Final answer
    x = 423.91

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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.