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Finding the Fourth Proportional to 381.18, 525.58 and 263.22

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Solution

The fourth proportional to 381.18, 525.58 and 263.22 is: 362.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.18 : 525.58 = 263.22 : x
  2. Step 2: Convert to fraction form
    381.18/525.58 = 263.22/x
  3. Step 3: Cross multiply
    381.18x = 525.58 × 263.22
  4. Step 4: Simplify right side
    381.18x = 138,343.17
  5. Step 5: Solve for x
    x = 138,343.17/381.18
  6. Step 6: Final answer
    x = 362.93

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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.