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Finding the Fourth Proportional to 665.47, 996.15 and 492.34

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Solution

The fourth proportional to 665.47, 996.15 and 492.34 is: 736.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.47 : 996.15 = 492.34 : x
  2. Step 2: Convert to fraction form
    665.47/996.15 = 492.34/x
  3. Step 3: Cross multiply
    665.47x = 996.15 × 492.34
  4. Step 4: Simplify right side
    665.47x = 490,444.49
  5. Step 5: Solve for x
    x = 490,444.49/665.47
  6. Step 6: Final answer
    x = 736.99

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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.