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Finding the Fourth Proportional to 446.34, 616.31 and 297.11

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Solution

The fourth proportional to 446.34, 616.31 and 297.11 is: 410.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.34 : 616.31 = 297.11 : x
  2. Step 2: Convert to fraction form
    446.34/616.31 = 297.11/x
  3. Step 3: Cross multiply
    446.34x = 616.31 × 297.11
  4. Step 4: Simplify right side
    446.34x = 183,107.30
  5. Step 5: Solve for x
    x = 183,107.30/446.34
  6. Step 6: Final answer
    x = 410.24

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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.