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Finding the Fourth Proportional to 472.68, 651.78 and 306.68

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Solution

The fourth proportional to 472.68, 651.78 and 306.68 is: 422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.68 : 651.78 = 306.68 : x
  2. Step 2: Convert to fraction form
    472.68/651.78 = 306.68/x
  3. Step 3: Cross multiply
    472.68x = 651.78 × 306.68
  4. Step 4: Simplify right side
    472.68x = 199,884.63
  5. Step 5: Solve for x
    x = 199,884.63/472.68
  6. Step 6: Final answer
    x = 422.88

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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.