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Finding the Fourth Proportional to 474.71, 712.35 and 201.02

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Solution

The fourth proportional to 474.71, 712.35 and 201.02 is: 301.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.71 : 712.35 = 201.02 : x
  2. Step 2: Convert to fraction form
    474.71/712.35 = 201.02/x
  3. Step 3: Cross multiply
    474.71x = 712.35 × 201.02
  4. Step 4: Simplify right side
    474.71x = 143,193.04
  5. Step 5: Solve for x
    x = 143,193.04/474.71
  6. Step 6: Final answer
    x = 301.65

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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.