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Finding the Fourth Proportional to 693.04, 956.32 and 382.48

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Solution

The fourth proportional to 693.04, 956.32 and 382.48 is: 527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.04 : 956.32 = 382.48 : x
  2. Step 2: Convert to fraction form
    693.04/956.32 = 382.48/x
  3. Step 3: Cross multiply
    693.04x = 956.32 × 382.48
  4. Step 4: Simplify right side
    693.04x = 365,773.27
  5. Step 5: Solve for x
    x = 365,773.27/693.04
  6. Step 6: Final answer
    x = 527.78

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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.