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Finding the Fourth Proportional to 674.42, 930.33 and 478.19

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Solution

The fourth proportional to 674.42, 930.33 and 478.19 is: 659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.42 : 930.33 = 478.19 : x
  2. Step 2: Convert to fraction form
    674.42/930.33 = 478.19/x
  3. Step 3: Cross multiply
    674.42x = 930.33 × 478.19
  4. Step 4: Simplify right side
    674.42x = 444,869.85
  5. Step 5: Solve for x
    x = 444,869.85/674.42
  6. Step 6: Final answer
    x = 659.64

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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.