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Finding the Fourth Proportional to 472.35, 650.61 and 397.56

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Solution

The fourth proportional to 472.35, 650.61 and 397.56 is: 547.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.35 : 650.61 = 397.56 : x
  2. Step 2: Convert to fraction form
    472.35/650.61 = 397.56/x
  3. Step 3: Cross multiply
    472.35x = 650.61 × 397.56
  4. Step 4: Simplify right side
    472.35x = 258,658.95
  5. Step 5: Solve for x
    x = 258,658.95/472.35
  6. Step 6: Final answer
    x = 547.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.