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Finding the Fourth Proportional to 674.04, 930.21 and 412.11

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Solution

The fourth proportional to 674.04, 930.21 and 412.11 is: 568.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.04 : 930.21 = 412.11 : x
  2. Step 2: Convert to fraction form
    674.04/930.21 = 412.11/x
  3. Step 3: Cross multiply
    674.04x = 930.21 × 412.11
  4. Step 4: Simplify right side
    674.04x = 383,348.84
  5. Step 5: Solve for x
    x = 383,348.84/674.04
  6. Step 6: Final answer
    x = 568.73

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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.