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Finding the Fourth Proportional to 382.61, 527.76 and 264.38

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Solution

The fourth proportional to 382.61, 527.76 and 264.38 is: 364.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.61 : 527.76 = 264.38 : x
  2. Step 2: Convert to fraction form
    382.61/527.76 = 264.38/x
  3. Step 3: Cross multiply
    382.61x = 527.76 × 264.38
  4. Step 4: Simplify right side
    382.61x = 139,529.19
  5. Step 5: Solve for x
    x = 139,529.19/382.61
  6. Step 6: Final answer
    x = 364.68

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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.