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Finding the Fourth Proportional to 456.67, 629.67 and 363.12

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Solution

The fourth proportional to 456.67, 629.67 and 363.12 is: 500.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.67 : 629.67 = 363.12 : x
  2. Step 2: Convert to fraction form
    456.67/629.67 = 363.12/x
  3. Step 3: Cross multiply
    456.67x = 629.67 × 363.12
  4. Step 4: Simplify right side
    456.67x = 228,645.77
  5. Step 5: Solve for x
    x = 228,645.77/456.67
  6. Step 6: Final answer
    x = 500.68

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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.