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Finding the Fourth Proportional to 694.77, 958.83 and 400.11

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Solution

The fourth proportional to 694.77, 958.83 and 400.11 is: 552.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.77 : 958.83 = 400.11 : x
  2. Step 2: Convert to fraction form
    694.77/958.83 = 400.11/x
  3. Step 3: Cross multiply
    694.77x = 958.83 × 400.11
  4. Step 4: Simplify right side
    694.77x = 383,637.47
  5. Step 5: Solve for x
    x = 383,637.47/694.77
  6. Step 6: Final answer
    x = 552.18

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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.