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Finding the Fourth Proportional to 388.01, 535.32 and 232.76

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Solution

The fourth proportional to 388.01, 535.32 and 232.76 is: 321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.01 : 535.32 = 232.76 : x
  2. Step 2: Convert to fraction form
    388.01/535.32 = 232.76/x
  3. Step 3: Cross multiply
    388.01x = 535.32 × 232.76
  4. Step 4: Simplify right side
    388.01x = 124,598.41
  5. Step 5: Solve for x
    x = 124,598.41/388.01
  6. Step 6: Final answer
    x = 321.13

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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.