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Finding the Fourth Proportional to 472.56, 704.85 and 406.80

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Solution

The fourth proportional to 472.56, 704.85 and 406.80 is: 606.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.56 : 704.85 = 406.80 : x
  2. Step 2: Convert to fraction form
    472.56/704.85 = 406.80/x
  3. Step 3: Cross multiply
    472.56x = 704.85 × 406.80
  4. Step 4: Simplify right side
    472.56x = 286,732.98
  5. Step 5: Solve for x
    x = 286,732.98/472.56
  6. Step 6: Final answer
    x = 606.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.