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Finding the Fourth Proportional to 474.08, 650.61 and 461.84

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Solution

The fourth proportional to 474.08, 650.61 and 461.84 is: 633.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.08 : 650.61 = 461.84 : x
  2. Step 2: Convert to fraction form
    474.08/650.61 = 461.84/x
  3. Step 3: Cross multiply
    474.08x = 650.61 × 461.84
  4. Step 4: Simplify right side
    474.08x = 300,477.72
  5. Step 5: Solve for x
    x = 300,477.72/474.08
  6. Step 6: Final answer
    x = 633.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.