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Finding the Fourth Proportional to 694.86, 958.95 and 400.14

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Solution

The fourth proportional to 694.86, 958.95 and 400.14 is: 552.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.86 : 958.95 = 400.14 : x
  2. Step 2: Convert to fraction form
    694.86/958.95 = 400.14/x
  3. Step 3: Cross multiply
    694.86x = 958.95 × 400.14
  4. Step 4: Simplify right side
    694.86x = 383,714.25
  5. Step 5: Solve for x
    x = 383,714.25/694.86
  6. Step 6: Final answer
    x = 552.22

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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.