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Finding the Fourth Proportional to 674.50, 930.82 and 412.48

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Solution

The fourth proportional to 674.50, 930.82 and 412.48 is: 569.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.50 : 930.82 = 412.48 : x
  2. Step 2: Convert to fraction form
    674.50/930.82 = 412.48/x
  3. Step 3: Cross multiply
    674.50x = 930.82 × 412.48
  4. Step 4: Simplify right side
    674.50x = 383,944.63
  5. Step 5: Solve for x
    x = 383,944.63/674.50
  6. Step 6: Final answer
    x = 569.23

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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.