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Finding the Fourth Proportional to 674.17, 930.40 and 412.22

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Solution

The fourth proportional to 674.17, 930.40 and 412.22 is: 568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.17 : 930.40 = 412.22 : x
  2. Step 2: Convert to fraction form
    674.17/930.40 = 412.22/x
  3. Step 3: Cross multiply
    674.17x = 930.40 × 412.22
  4. Step 4: Simplify right side
    674.17x = 383,530.78
  5. Step 5: Solve for x
    x = 383,530.78/674.17
  6. Step 6: Final answer
    x = 568.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.