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Finding the Fourth Proportional to 381.16, 526.01 and 263.16

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Solution

The fourth proportional to 381.16, 526.01 and 263.16 is: 363.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.16 : 526.01 = 263.16 : x
  2. Step 2: Convert to fraction form
    381.16/526.01 = 263.16/x
  3. Step 3: Cross multiply
    381.16x = 526.01 × 263.16
  4. Step 4: Simplify right side
    381.16x = 138,424.96
  5. Step 5: Solve for x
    x = 138,424.96/381.16
  6. Step 6: Final answer
    x = 363.17

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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.