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Finding the Fourth Proportional to 674.99, 931.19 and 409.44

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Solution

The fourth proportional to 674.99, 931.19 and 409.44 is: 564.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.99 : 931.19 = 409.44 : x
  2. Step 2: Convert to fraction form
    674.99/931.19 = 409.44/x
  3. Step 3: Cross multiply
    674.99x = 931.19 × 409.44
  4. Step 4: Simplify right side
    674.99x = 381,266.43
  5. Step 5: Solve for x
    x = 381,266.43/674.99
  6. Step 6: Final answer
    x = 564.85

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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.