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Finding the Fourth Proportional to 665.88, 996.12 and 460.50

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Solution

The fourth proportional to 665.88, 996.12 and 460.50 is: 688.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.88 : 996.12 = 460.50 : x
  2. Step 2: Convert to fraction form
    665.88/996.12 = 460.50/x
  3. Step 3: Cross multiply
    665.88x = 996.12 × 460.50
  4. Step 4: Simplify right side
    665.88x = 458,713.26
  5. Step 5: Solve for x
    x = 458,713.26/665.88
  6. Step 6: Final answer
    x = 688.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.