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Finding the Fourth Proportional to 674.68, 930.93 and 409.06

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Solution

The fourth proportional to 674.68, 930.93 and 409.06 is: 564.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.68 : 930.93 = 409.06 : x
  2. Step 2: Convert to fraction form
    674.68/930.93 = 409.06/x
  3. Step 3: Cross multiply
    674.68x = 930.93 × 409.06
  4. Step 4: Simplify right side
    674.68x = 380,801.57
  5. Step 5: Solve for x
    x = 380,801.57/674.68
  6. Step 6: Final answer
    x = 564.42

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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.