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Finding the Fourth Proportional to 391.69, 586.69 and 299.19

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Solution

The fourth proportional to 391.69, 586.69 and 299.19 is: 448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.69 : 586.69 = 299.19 : x
  2. Step 2: Convert to fraction form
    391.69/586.69 = 299.19/x
  3. Step 3: Cross multiply
    391.69x = 586.69 × 299.19
  4. Step 4: Simplify right side
    391.69x = 175,534.92
  5. Step 5: Solve for x
    x = 175,534.92/391.69
  6. Step 6: Final answer
    x = 448.15

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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.