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Finding the Fourth Proportional to 322.96, 447.64 and 317.74

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Solution

The fourth proportional to 322.96, 447.64 and 317.74 is: 440.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.96 : 447.64 = 317.74 : x
  2. Step 2: Convert to fraction form
    322.96/447.64 = 317.74/x
  3. Step 3: Cross multiply
    322.96x = 447.64 × 317.74
  4. Step 4: Simplify right side
    322.96x = 142,233.13
  5. Step 5: Solve for x
    x = 142,233.13/322.96
  6. Step 6: Final answer
    x = 440.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.