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Finding the Fourth Proportional to 472.75, 651.98 and 306.90

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Solution

The fourth proportional to 472.75, 651.98 and 306.90 is: 423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.75 : 651.98 = 306.90 : x
  2. Step 2: Convert to fraction form
    472.75/651.98 = 306.90/x
  3. Step 3: Cross multiply
    472.75x = 651.98 × 306.90
  4. Step 4: Simplify right side
    472.75x = 200,093.43
  5. Step 5: Solve for x
    x = 200,093.43/472.75
  6. Step 6: Final answer
    x = 423.26

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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.