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Finding the Fourth Proportional to 381.01, 525.80 and 233.79

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Solution

The fourth proportional to 381.01, 525.80 and 233.79 is: 322.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.01 : 525.80 = 233.79 : x
  2. Step 2: Convert to fraction form
    381.01/525.80 = 233.79/x
  3. Step 3: Cross multiply
    381.01x = 525.80 × 233.79
  4. Step 4: Simplify right side
    381.01x = 122,927.37
  5. Step 5: Solve for x
    x = 122,927.37/381.01
  6. Step 6: Final answer
    x = 322.64

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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.