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Finding the Fourth Proportional to 693.22, 956.80 and 398.65

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Solution

The fourth proportional to 693.22, 956.80 and 398.65 is: 550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.22 : 956.80 = 398.65 : x
  2. Step 2: Convert to fraction form
    693.22/956.80 = 398.65/x
  3. Step 3: Cross multiply
    693.22x = 956.80 × 398.65
  4. Step 4: Simplify right side
    693.22x = 381,430.71
  5. Step 5: Solve for x
    x = 381,430.71/693.22
  6. Step 6: Final answer
    x = 550.23

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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.