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Finding the Fourth Proportional to 684.27, 943.95 and 463.14

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Solution

The fourth proportional to 684.27, 943.95 and 463.14 is: 638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.27 : 943.95 = 463.14 : x
  2. Step 2: Convert to fraction form
    684.27/943.95 = 463.14/x
  3. Step 3: Cross multiply
    684.27x = 943.95 × 463.14
  4. Step 4: Simplify right side
    684.27x = 437,178.69
  5. Step 5: Solve for x
    x = 437,178.69/684.27
  6. Step 6: Final answer
    x = 638.90

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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.