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Finding the Fourth Proportional to 446.31, 615.93 and 249.83

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Solution

The fourth proportional to 446.31, 615.93 and 249.83 is: 344.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.31 : 615.93 = 249.83 : x
  2. Step 2: Convert to fraction form
    446.31/615.93 = 249.83/x
  3. Step 3: Cross multiply
    446.31x = 615.93 × 249.83
  4. Step 4: Simplify right side
    446.31x = 153,874.71
  5. Step 5: Solve for x
    x = 153,874.71/446.31
  6. Step 6: Final answer
    x = 344.77

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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.