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Finding the Fourth Proportional to 674.80, 931.22 and 412.78

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Solution

The fourth proportional to 674.80, 931.22 and 412.78 is: 569.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.80 : 931.22 = 412.78 : x
  2. Step 2: Convert to fraction form
    674.80/931.22 = 412.78/x
  3. Step 3: Cross multiply
    674.80x = 931.22 × 412.78
  4. Step 4: Simplify right side
    674.80x = 384,388.99
  5. Step 5: Solve for x
    x = 384,388.99/674.80
  6. Step 6: Final answer
    x = 569.63

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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.