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Finding the Fourth Proportional to 613.49, 921.28 and 409.37

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Solution

The fourth proportional to 613.49, 921.28 and 409.37 is: 614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.49 : 921.28 = 409.37 : x
  2. Step 2: Convert to fraction form
    613.49/921.28 = 409.37/x
  3. Step 3: Cross multiply
    613.49x = 921.28 × 409.37
  4. Step 4: Simplify right side
    613.49x = 377,138.76
  5. Step 5: Solve for x
    x = 377,138.76/613.49
  6. Step 6: Final answer
    x = 614.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.