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Finding the Fourth Proportional to 693.44, 956.96 and 382.94

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Solution

The fourth proportional to 693.44, 956.96 and 382.94 is: 528.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.44 : 956.96 = 382.94 : x
  2. Step 2: Convert to fraction form
    693.44/956.96 = 382.94/x
  3. Step 3: Cross multiply
    693.44x = 956.96 × 382.94
  4. Step 4: Simplify right side
    693.44x = 366,458.26
  5. Step 5: Solve for x
    x = 366,458.26/693.44
  6. Step 6: Final answer
    x = 528.46

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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.