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Finding the Fourth Proportional to 699.47, 965.21 and 419.56

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Solution

The fourth proportional to 699.47, 965.21 and 419.56 is: 578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.47 : 965.21 = 419.56 : x
  2. Step 2: Convert to fraction form
    699.47/965.21 = 419.56/x
  3. Step 3: Cross multiply
    699.47x = 965.21 × 419.56
  4. Step 4: Simplify right side
    699.47x = 404,962.14
  5. Step 5: Solve for x
    x = 404,962.14/699.47
  6. Step 6: Final answer
    x = 578.96

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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.