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Finding the Fourth Proportional to 722.35, 996.65 and 460.15

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Solution

The fourth proportional to 722.35, 996.65 and 460.15 is: 634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.35 : 996.65 = 460.15 : x
  2. Step 2: Convert to fraction form
    722.35/996.65 = 460.15/x
  3. Step 3: Cross multiply
    722.35x = 996.65 × 460.15
  4. Step 4: Simplify right side
    722.35x = 458,606.20
  5. Step 5: Solve for x
    x = 458,606.20/722.35
  6. Step 6: Final answer
    x = 634.88

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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.