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Finding the Fourth Proportional to 699.14, 964.76 and 419.23

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Solution

The fourth proportional to 699.14, 964.76 and 419.23 is: 578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.14 : 964.76 = 419.23 : x
  2. Step 2: Convert to fraction form
    699.14/964.76 = 419.23/x
  3. Step 3: Cross multiply
    699.14x = 964.76 × 419.23
  4. Step 4: Simplify right side
    699.14x = 404,451.83
  5. Step 5: Solve for x
    x = 404,451.83/699.14
  6. Step 6: Final answer
    x = 578.50

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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.