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Finding the Fourth Proportional to 474.91, 712.01 and 200.77

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Solution

The fourth proportional to 474.91, 712.01 and 200.77 is: 301.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.91 : 712.01 = 200.77 : x
  2. Step 2: Convert to fraction form
    474.91/712.01 = 200.77/x
  3. Step 3: Cross multiply
    474.91x = 712.01 × 200.77
  4. Step 4: Simplify right side
    474.91x = 142,948.97
  5. Step 5: Solve for x
    x = 142,948.97/474.91
  6. Step 6: Final answer
    x = 301.00

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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.