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Finding the Fourth Proportional to 357.97, 494.01 and 233.71

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Solution

The fourth proportional to 357.97, 494.01 and 233.71 is: 322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.97 : 494.01 = 233.71 : x
  2. Step 2: Convert to fraction form
    357.97/494.01 = 233.71/x
  3. Step 3: Cross multiply
    357.97x = 494.01 × 233.71
  4. Step 4: Simplify right side
    357.97x = 115,455.08
  5. Step 5: Solve for x
    x = 115,455.08/357.97
  6. Step 6: Final answer
    x = 322.53

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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.