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Finding the Fourth Proportional to 446.82, 615.86 and 314.09

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Solution

The fourth proportional to 446.82, 615.86 and 314.09 is: 432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.82 : 615.86 = 314.09 : x
  2. Step 2: Convert to fraction form
    446.82/615.86 = 314.09/x
  3. Step 3: Cross multiply
    446.82x = 615.86 × 314.09
  4. Step 4: Simplify right side
    446.82x = 193,430.82
  5. Step 5: Solve for x
    x = 193,430.82/446.82
  6. Step 6: Final answer
    x = 432.91

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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.