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Finding the Fourth Proportional to 463.11, 638.81 and 305.74

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Solution

The fourth proportional to 463.11, 638.81 and 305.74 is: 421.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.11 : 638.81 = 305.74 : x
  2. Step 2: Convert to fraction form
    463.11/638.81 = 305.74/x
  3. Step 3: Cross multiply
    463.11x = 638.81 × 305.74
  4. Step 4: Simplify right side
    463.11x = 195,312.13
  5. Step 5: Solve for x
    x = 195,312.13/463.11
  6. Step 6: Final answer
    x = 421.74

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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.