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Finding the Fourth Proportional to 684.13, 943.80 and 463

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Solution

The fourth proportional to 684.13, 943.80 and 463 is: 638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.13 : 943.80 = 463 : x
  2. Step 2: Convert to fraction form
    684.13/943.80 = 463/x
  3. Step 3: Cross multiply
    684.13x = 943.80 × 463
  4. Step 4: Simplify right side
    684.13x = 436,979.40
  5. Step 5: Solve for x
    x = 436,979.40/684.13
  6. Step 6: Final answer
    x = 638.74

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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.