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Finding the Fourth Proportional to 694.84, 959.34 and 419

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Solution

The fourth proportional to 694.84, 959.34 and 419 is: 578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.84 : 959.34 = 419 : x
  2. Step 2: Convert to fraction form
    694.84/959.34 = 419/x
  3. Step 3: Cross multiply
    694.84x = 959.34 × 419
  4. Step 4: Simplify right side
    694.84x = 401,963.46
  5. Step 5: Solve for x
    x = 401,963.46/694.84
  6. Step 6: Final answer
    x = 578.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.