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Finding the Fourth Proportional to 684.47, 944.71 and 401.07

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Solution

The fourth proportional to 684.47, 944.71 and 401.07 is: 553.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.47 : 944.71 = 401.07 : x
  2. Step 2: Convert to fraction form
    684.47/944.71 = 401.07/x
  3. Step 3: Cross multiply
    684.47x = 944.71 × 401.07
  4. Step 4: Simplify right side
    684.47x = 378,898.20
  5. Step 5: Solve for x
    x = 378,898.20/684.47
  6. Step 6: Final answer
    x = 553.56

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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.