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Finding the Fourth Proportional to 382.49, 527.64 and 264.59

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Solution

The fourth proportional to 382.49, 527.64 and 264.59 is: 365.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.49 : 527.64 = 264.59 : x
  2. Step 2: Convert to fraction form
    382.49/527.64 = 264.59/x
  3. Step 3: Cross multiply
    382.49x = 527.64 × 264.59
  4. Step 4: Simplify right side
    382.49x = 139,608.27
  5. Step 5: Solve for x
    x = 139,608.27/382.49
  6. Step 6: Final answer
    x = 365.00

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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.