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Finding the Fourth Proportional to 381.15, 569.34 and 374.67

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Solution

The fourth proportional to 381.15, 569.34 and 374.67 is: 559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.15 : 569.34 = 374.67 : x
  2. Step 2: Convert to fraction form
    381.15/569.34 = 374.67/x
  3. Step 3: Cross multiply
    381.15x = 569.34 × 374.67
  4. Step 4: Simplify right side
    381.15x = 213,314.62
  5. Step 5: Solve for x
    x = 213,314.62/381.15
  6. Step 6: Final answer
    x = 559.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.