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Finding the Fourth Proportional to 695, 959.10 and 419

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Solution

The fourth proportional to 695, 959.10 and 419 is: 578.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    695 : 959.10 = 419 : x
  2. Step 2: Convert to fraction form
    695/959.10 = 419/x
  3. Step 3: Cross multiply
    695x = 959.10 × 419
  4. Step 4: Simplify right side
    695x = 401,862.90
  5. Step 5: Solve for x
    x = 401,862.90/695
  6. Step 6: Final answer
    x = 578.22

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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.