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Finding the Fourth Proportional to 382.37, 527.61 and 264.59

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Solution

The fourth proportional to 382.37, 527.61 and 264.59 is: 365.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.37 : 527.61 = 264.59 : x
  2. Step 2: Convert to fraction form
    382.37/527.61 = 264.59/x
  3. Step 3: Cross multiply
    382.37x = 527.61 × 264.59
  4. Step 4: Simplify right side
    382.37x = 139,600.33
  5. Step 5: Solve for x
    x = 139,600.33/382.37
  6. Step 6: Final answer
    x = 365.09

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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.