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Finding the Fourth Proportional to 693.24, 956.83 and 472.28

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Solution

The fourth proportional to 693.24, 956.83 and 472.28 is: 651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.24 : 956.83 = 472.28 : x
  2. Step 2: Convert to fraction form
    693.24/956.83 = 472.28/x
  3. Step 3: Cross multiply
    693.24x = 956.83 × 472.28
  4. Step 4: Simplify right side
    693.24x = 451,891.67
  5. Step 5: Solve for x
    x = 451,891.67/693.24
  6. Step 6: Final answer
    x = 651.85

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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.