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Finding the Fourth Proportional to 474.18, 650.51 and 461.39

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Solution

The fourth proportional to 474.18, 650.51 and 461.39 is: 632.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.18 : 650.51 = 461.39 : x
  2. Step 2: Convert to fraction form
    474.18/650.51 = 461.39/x
  3. Step 3: Cross multiply
    474.18x = 650.51 × 461.39
  4. Step 4: Simplify right side
    474.18x = 300,133.25
  5. Step 5: Solve for x
    x = 300,133.25/474.18
  6. Step 6: Final answer
    x = 632.95

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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.