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Finding the Fourth Proportional to 693.56, 956.41 and 444.83

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Solution

The fourth proportional to 693.56, 956.41 and 444.83 is: 613.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.56 : 956.41 = 444.83 : x
  2. Step 2: Convert to fraction form
    693.56/956.41 = 444.83/x
  3. Step 3: Cross multiply
    693.56x = 956.41 × 444.83
  4. Step 4: Simplify right side
    693.56x = 425,433.97
  5. Step 5: Solve for x
    x = 425,433.97/693.56
  6. Step 6: Final answer
    x = 613.40

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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.