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Finding the Fourth Proportional to 472.06, 651.13 and 306.08

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Solution

The fourth proportional to 472.06, 651.13 and 306.08 is: 422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.06 : 651.13 = 306.08 : x
  2. Step 2: Convert to fraction form
    472.06/651.13 = 306.08/x
  3. Step 3: Cross multiply
    472.06x = 651.13 × 306.08
  4. Step 4: Simplify right side
    472.06x = 199,297.87
  5. Step 5: Solve for x
    x = 199,297.87/472.06
  6. Step 6: Final answer
    x = 422.19

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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.