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Finding the Fourth Proportional to 684.36, 944.06 and 400.52

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Solution

The fourth proportional to 684.36, 944.06 and 400.52 is: 552.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.36 : 944.06 = 400.52 : x
  2. Step 2: Convert to fraction form
    684.36/944.06 = 400.52/x
  3. Step 3: Cross multiply
    684.36x = 944.06 × 400.52
  4. Step 4: Simplify right side
    684.36x = 378,114.91
  5. Step 5: Solve for x
    x = 378,114.91/684.36
  6. Step 6: Final answer
    x = 552.51

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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.