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Finding the Fourth Proportional to 472.14, 704.86 and 399.24

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Solution

The fourth proportional to 472.14, 704.86 and 399.24 is: 596.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.14 : 704.86 = 399.24 : x
  2. Step 2: Convert to fraction form
    472.14/704.86 = 399.24/x
  3. Step 3: Cross multiply
    472.14x = 704.86 × 399.24
  4. Step 4: Simplify right side
    472.14x = 281,407.31
  5. Step 5: Solve for x
    x = 281,407.31/472.14
  6. Step 6: Final answer
    x = 596.03

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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.