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Finding the Fourth Proportional to 322.45, 444.71 and 233.93

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Solution

The fourth proportional to 322.45, 444.71 and 233.93 is: 322.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.45 : 444.71 = 233.93 : x
  2. Step 2: Convert to fraction form
    322.45/444.71 = 233.93/x
  3. Step 3: Cross multiply
    322.45x = 444.71 × 233.93
  4. Step 4: Simplify right side
    322.45x = 104,032.71
  5. Step 5: Solve for x
    x = 104,032.71/322.45
  6. Step 6: Final answer
    x = 322.63

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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.