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Finding the Fourth Proportional to 694.71, 958.64 and 400.10

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Solution

The fourth proportional to 694.71, 958.64 and 400.10 is: 552.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.71 : 958.64 = 400.10 : x
  2. Step 2: Convert to fraction form
    694.71/958.64 = 400.10/x
  3. Step 3: Cross multiply
    694.71x = 958.64 × 400.10
  4. Step 4: Simplify right side
    694.71x = 383,545.07
  5. Step 5: Solve for x
    x = 383,545.07/694.71
  6. Step 6: Final answer
    x = 552.09

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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.