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Finding the Fourth Proportional to 674.19, 930.83 and 477.90

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Solution

The fourth proportional to 674.19, 930.83 and 477.90 is: 659.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.19 : 930.83 = 477.90 : x
  2. Step 2: Convert to fraction form
    674.19/930.83 = 477.90/x
  3. Step 3: Cross multiply
    674.19x = 930.83 × 477.90
  4. Step 4: Simplify right side
    674.19x = 444,841.27
  5. Step 5: Solve for x
    x = 444,841.27/674.19
  6. Step 6: Final answer
    x = 659.82

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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.