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Finding the Fourth Proportional to 381.06, 525.42 and 264.42

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Solution

The fourth proportional to 381.06, 525.42 and 264.42 is: 364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.06 : 525.42 = 264.42 : x
  2. Step 2: Convert to fraction form
    381.06/525.42 = 264.42/x
  3. Step 3: Cross multiply
    381.06x = 525.42 × 264.42
  4. Step 4: Simplify right side
    381.06x = 138,931.56
  5. Step 5: Solve for x
    x = 138,931.56/381.06
  6. Step 6: Final answer
    x = 364.59

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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.