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Finding the Fourth Proportional to 388.19, 535.82 and 230.77

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Solution

The fourth proportional to 388.19, 535.82 and 230.77 is: 318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.19 : 535.82 = 230.77 : x
  2. Step 2: Convert to fraction form
    388.19/535.82 = 230.77/x
  3. Step 3: Cross multiply
    388.19x = 535.82 × 230.77
  4. Step 4: Simplify right side
    388.19x = 123,652.20
  5. Step 5: Solve for x
    x = 123,652.20/388.19
  6. Step 6: Final answer
    x = 318.53

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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.