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Finding the Fourth Proportional to 693.53, 957.04 and 398.78

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Solution

The fourth proportional to 693.53, 957.04 and 398.78 is: 550.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.53 : 957.04 = 398.78 : x
  2. Step 2: Convert to fraction form
    693.53/957.04 = 398.78/x
  3. Step 3: Cross multiply
    693.53x = 957.04 × 398.78
  4. Step 4: Simplify right side
    693.53x = 381,642.63
  5. Step 5: Solve for x
    x = 381,642.63/693.53
  6. Step 6: Final answer
    x = 550.29

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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.