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Finding the Fourth Proportional to 463.05, 634.91 and 452.12

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Solution

The fourth proportional to 463.05, 634.91 and 452.12 is: 619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.05 : 634.91 = 452.12 : x
  2. Step 2: Convert to fraction form
    463.05/634.91 = 452.12/x
  3. Step 3: Cross multiply
    463.05x = 634.91 × 452.12
  4. Step 4: Simplify right side
    463.05x = 287,050.07
  5. Step 5: Solve for x
    x = 287,050.07/463.05
  6. Step 6: Final answer
    x = 619.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.