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Finding the Fourth Proportional to 665.70, 997.71 and 421.68

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Solution

The fourth proportional to 665.70, 997.71 and 421.68 is: 631.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.70 : 997.71 = 421.68 : x
  2. Step 2: Convert to fraction form
    665.70/997.71 = 421.68/x
  3. Step 3: Cross multiply
    665.70x = 997.71 × 421.68
  4. Step 4: Simplify right side
    665.70x = 420,714.35
  5. Step 5: Solve for x
    x = 420,714.35/665.70
  6. Step 6: Final answer
    x = 631.99

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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.