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Finding the Fourth Proportional to 684.31, 944.36 and 373.81

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Solution

The fourth proportional to 684.31, 944.36 and 373.81 is: 515.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.31 : 944.36 = 373.81 : x
  2. Step 2: Convert to fraction form
    684.31/944.36 = 373.81/x
  3. Step 3: Cross multiply
    684.31x = 944.36 × 373.81
  4. Step 4: Simplify right side
    684.31x = 353,011.21
  5. Step 5: Solve for x
    x = 353,011.21/684.31
  6. Step 6: Final answer
    x = 515.86

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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.