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Finding the Fourth Proportional to 472.02, 651.17 and 306.27

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Solution

The fourth proportional to 472.02, 651.17 and 306.27 is: 422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.02 : 651.17 = 306.27 : x
  2. Step 2: Convert to fraction form
    472.02/651.17 = 306.27/x
  3. Step 3: Cross multiply
    472.02x = 651.17 × 306.27
  4. Step 4: Simplify right side
    472.02x = 199,433.84
  5. Step 5: Solve for x
    x = 199,433.84/472.02
  6. Step 6: Final answer
    x = 422.51

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