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Finding the Fourth Proportional to 378.65, 520.99 and 369.91

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Solution

The fourth proportional to 378.65, 520.99 and 369.91 is: 508.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.65 : 520.99 = 369.91 : x
  2. Step 2: Convert to fraction form
    378.65/520.99 = 369.91/x
  3. Step 3: Cross multiply
    378.65x = 520.99 × 369.91
  4. Step 4: Simplify right side
    378.65x = 192,717.18
  5. Step 5: Solve for x
    x = 192,717.18/378.65
  6. Step 6: Final answer
    x = 508.96

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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.