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Finding the Fourth Proportional to 472.80, 704.16 and 455.79

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Solution

The fourth proportional to 472.80, 704.16 and 455.79 is: 678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.80 : 704.16 = 455.79 : x
  2. Step 2: Convert to fraction form
    472.80/704.16 = 455.79/x
  3. Step 3: Cross multiply
    472.80x = 704.16 × 455.79
  4. Step 4: Simplify right side
    472.80x = 320,949.09
  5. Step 5: Solve for x
    x = 320,949.09/472.80
  6. Step 6: Final answer
    x = 678.83

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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.