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Finding the Fourth Proportional to 693.53, 957.53 and 444.96

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Solution

The fourth proportional to 693.53, 957.53 and 444.96 is: 614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.53 : 957.53 = 444.96 : x
  2. Step 2: Convert to fraction form
    693.53/957.53 = 444.96/x
  3. Step 3: Cross multiply
    693.53x = 957.53 × 444.96
  4. Step 4: Simplify right side
    693.53x = 426,067.25
  5. Step 5: Solve for x
    x = 426,067.25/693.53
  6. Step 6: Final answer
    x = 614.34

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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.