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Finding the Fourth Proportional to 687.56, 949.04 and 463.81

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Solution

The fourth proportional to 687.56, 949.04 and 463.81 is: 640.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.56 : 949.04 = 463.81 : x
  2. Step 2: Convert to fraction form
    687.56/949.04 = 463.81/x
  3. Step 3: Cross multiply
    687.56x = 949.04 × 463.81
  4. Step 4: Simplify right side
    687.56x = 440,178.39
  5. Step 5: Solve for x
    x = 440,178.39/687.56
  6. Step 6: Final answer
    x = 640.21

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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.