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Finding the Fourth Proportional to 699.24, 964.92 and 419.48

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Solution

The fourth proportional to 699.24, 964.92 and 419.48 is: 578.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.24 : 964.92 = 419.48 : x
  2. Step 2: Convert to fraction form
    699.24/964.92 = 419.48/x
  3. Step 3: Cross multiply
    699.24x = 964.92 × 419.48
  4. Step 4: Simplify right side
    699.24x = 404,764.64
  5. Step 5: Solve for x
    x = 404,764.64/699.24
  6. Step 6: Final answer
    x = 578.86

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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.