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Finding the Fourth Proportional to 699.14, 964.70 and 404.44

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Solution

The fourth proportional to 699.14, 964.70 and 404.44 is: 558.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.14 : 964.70 = 404.44 : x
  2. Step 2: Convert to fraction form
    699.14/964.70 = 404.44/x
  3. Step 3: Cross multiply
    699.14x = 964.70 × 404.44
  4. Step 4: Simplify right side
    699.14x = 390,163.27
  5. Step 5: Solve for x
    x = 390,163.27/699.14
  6. Step 6: Final answer
    x = 558.06

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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.