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Finding the Fourth Proportional to 462.00, 634.23 and 396.39

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Solution

The fourth proportional to 462.00, 634.23 and 396.39 is: 544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.00 : 634.23 = 396.39 : x
  2. Step 2: Convert to fraction form
    462.00/634.23 = 396.39/x
  3. Step 3: Cross multiply
    462.00x = 634.23 × 396.39
  4. Step 4: Simplify right side
    462.00x = 251,404.81
  5. Step 5: Solve for x
    x = 251,404.81/462.00
  6. Step 6: Final answer
    x = 544.16

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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.