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Finding the Fourth Proportional to 381.11, 524.48 and 364.70

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Solution

The fourth proportional to 381.11, 524.48 and 364.70 is: 501.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.11 : 524.48 = 364.70 : x
  2. Step 2: Convert to fraction form
    381.11/524.48 = 364.70/x
  3. Step 3: Cross multiply
    381.11x = 524.48 × 364.70
  4. Step 4: Simplify right side
    381.11x = 191,277.34
  5. Step 5: Solve for x
    x = 191,277.34/381.11
  6. Step 6: Final answer
    x = 501.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.