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Finding the Fourth Proportional to 381.46, 571.62 and 340.24

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Solution

The fourth proportional to 381.46, 571.62 and 340.24 is: 509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.46 : 571.62 = 340.24 : x
  2. Step 2: Convert to fraction form
    381.46/571.62 = 340.24/x
  3. Step 3: Cross multiply
    381.46x = 571.62 × 340.24
  4. Step 4: Simplify right side
    381.46x = 194,487.99
  5. Step 5: Solve for x
    x = 194,487.99/381.46
  6. Step 6: Final answer
    x = 509.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.