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Finding the Fourth Proportional to 474.65, 712.07 and 200.74

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Solution

The fourth proportional to 474.65, 712.07 and 200.74 is: 301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.65 : 712.07 = 200.74 : x
  2. Step 2: Convert to fraction form
    474.65/712.07 = 200.74/x
  3. Step 3: Cross multiply
    474.65x = 712.07 × 200.74
  4. Step 4: Simplify right side
    474.65x = 142,940.93
  5. Step 5: Solve for x
    x = 142,940.93/474.65
  6. Step 6: Final answer
    x = 301.15

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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.