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Finding the Fourth Proportional to 693.57, 957.17 and 398.93

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Solution

The fourth proportional to 693.57, 957.17 and 398.93 is: 550.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.57 : 957.17 = 398.93 : x
  2. Step 2: Convert to fraction form
    693.57/957.17 = 398.93/x
  3. Step 3: Cross multiply
    693.57x = 957.17 × 398.93
  4. Step 4: Simplify right side
    693.57x = 381,843.83
  5. Step 5: Solve for x
    x = 381,843.83/693.57
  6. Step 6: Final answer
    x = 550.55

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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.