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Finding the Fourth Proportional to 388.30, 535.59 and 233.08

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Solution

The fourth proportional to 388.30, 535.59 and 233.08 is: 321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.30 : 535.59 = 233.08 : x
  2. Step 2: Convert to fraction form
    388.30/535.59 = 233.08/x
  3. Step 3: Cross multiply
    388.30x = 535.59 × 233.08
  4. Step 4: Simplify right side
    388.30x = 124,835.32
  5. Step 5: Solve for x
    x = 124,835.32/388.30
  6. Step 6: Final answer
    x = 321.49

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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.