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Finding the Fourth Proportional to 381.02, 525.77 and 233.63

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Solution

The fourth proportional to 381.02, 525.77 and 233.63 is: 322.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.02 : 525.77 = 233.63 : x
  2. Step 2: Convert to fraction form
    381.02/525.77 = 233.63/x
  3. Step 3: Cross multiply
    381.02x = 525.77 × 233.63
  4. Step 4: Simplify right side
    381.02x = 122,833.02
  5. Step 5: Solve for x
    x = 122,833.02/381.02
  6. Step 6: Final answer
    x = 322.38

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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.