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Finding the Fourth Proportional to 388.27, 535.65 and 233.02

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Solution

The fourth proportional to 388.27, 535.65 and 233.02 is: 321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.27 : 535.65 = 233.02 : x
  2. Step 2: Convert to fraction form
    388.27/535.65 = 233.02/x
  3. Step 3: Cross multiply
    388.27x = 535.65 × 233.02
  4. Step 4: Simplify right side
    388.27x = 124,817.16
  5. Step 5: Solve for x
    x = 124,817.16/388.27
  6. Step 6: Final answer
    x = 321.47

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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.