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Finding the Fourth Proportional to 357.80, 494.08 and 233.44

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Solution

The fourth proportional to 357.80, 494.08 and 233.44 is: 322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.80 : 494.08 = 233.44 : x
  2. Step 2: Convert to fraction form
    357.80/494.08 = 233.44/x
  3. Step 3: Cross multiply
    357.80x = 494.08 × 233.44
  4. Step 4: Simplify right side
    357.80x = 115,338.04
  5. Step 5: Solve for x
    x = 115,338.04/357.80
  6. Step 6: Final answer
    x = 322.35

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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.