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Finding the Fourth Proportional to 381.78, 526.77 and 265.14

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Solution

The fourth proportional to 381.78, 526.77 and 265.14 is: 365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.78 : 526.77 = 265.14 : x
  2. Step 2: Convert to fraction form
    381.78/526.77 = 265.14/x
  3. Step 3: Cross multiply
    381.78x = 526.77 × 265.14
  4. Step 4: Simplify right side
    381.78x = 139,667.80
  5. Step 5: Solve for x
    x = 139,667.80/381.78
  6. Step 6: Final answer
    x = 365.83

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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.