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Finding the Fourth Proportional to 674.40, 930.67 and 506.04

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Solution

The fourth proportional to 674.40, 930.67 and 506.04 is: 698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.40 : 930.67 = 506.04 : x
  2. Step 2: Convert to fraction form
    674.40/930.67 = 506.04/x
  3. Step 3: Cross multiply
    674.40x = 930.67 × 506.04
  4. Step 4: Simplify right side
    674.40x = 470,956.25
  5. Step 5: Solve for x
    x = 470,956.25/674.40
  6. Step 6: Final answer
    x = 698.33

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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.