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Finding the Fourth Proportional to 462.36, 637.90 and 363.95

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Solution

The fourth proportional to 462.36, 637.90 and 363.95 is: 502.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.36 : 637.90 = 363.95 : x
  2. Step 2: Convert to fraction form
    462.36/637.90 = 363.95/x
  3. Step 3: Cross multiply
    462.36x = 637.90 × 363.95
  4. Step 4: Simplify right side
    462.36x = 232,163.71
  5. Step 5: Solve for x
    x = 232,163.71/462.36
  6. Step 6: Final answer
    x = 502.13

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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.