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Finding the Fourth Proportional to 474.99, 712.75 and 201.06

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Solution

The fourth proportional to 474.99, 712.75 and 201.06 is: 301.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.99 : 712.75 = 201.06 : x
  2. Step 2: Convert to fraction form
    474.99/712.75 = 201.06/x
  3. Step 3: Cross multiply
    474.99x = 712.75 × 201.06
  4. Step 4: Simplify right side
    474.99x = 143,305.52
  5. Step 5: Solve for x
    x = 143,305.52/474.99
  6. Step 6: Final answer
    x = 301.70

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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.