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Finding the Fourth Proportional to 388.24, 535.82 and 233.08

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Solution

The fourth proportional to 388.24, 535.82 and 233.08 is: 321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.24 : 535.82 = 233.08 : x
  2. Step 2: Convert to fraction form
    388.24/535.82 = 233.08/x
  3. Step 3: Cross multiply
    388.24x = 535.82 × 233.08
  4. Step 4: Simplify right side
    388.24x = 124,888.93
  5. Step 5: Solve for x
    x = 124,888.93/388.24
  6. Step 6: Final answer
    x = 321.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.