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Finding the Fourth Proportional to 463.19, 638.75 and 305.54

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Solution

The fourth proportional to 463.19, 638.75 and 305.54 is: 421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.19 : 638.75 = 305.54 : x
  2. Step 2: Convert to fraction form
    463.19/638.75 = 305.54/x
  3. Step 3: Cross multiply
    463.19x = 638.75 × 305.54
  4. Step 4: Simplify right side
    463.19x = 195,163.64
  5. Step 5: Solve for x
    x = 195,163.64/463.19
  6. Step 6: Final answer
    x = 421.35

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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.