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Finding the Fourth Proportional to 382.65, 527.47 and 299.49

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Solution

The fourth proportional to 382.65, 527.47 and 299.49 is: 412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.65 : 527.47 = 299.49 : x
  2. Step 2: Convert to fraction form
    382.65/527.47 = 299.49/x
  3. Step 3: Cross multiply
    382.65x = 527.47 × 299.49
  4. Step 4: Simplify right side
    382.65x = 157,971.99
  5. Step 5: Solve for x
    x = 157,971.99/382.65
  6. Step 6: Final answer
    x = 412.84

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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.