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Finding the Fourth Proportional to 665.60, 997.56 and 232.25

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Solution

The fourth proportional to 665.60, 997.56 and 232.25 is: 348.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.60 : 997.56 = 232.25 : x
  2. Step 2: Convert to fraction form
    665.60/997.56 = 232.25/x
  3. Step 3: Cross multiply
    665.60x = 997.56 × 232.25
  4. Step 4: Simplify right side
    665.60x = 231,678.32
  5. Step 5: Solve for x
    x = 231,678.32/665.60
  6. Step 6: Final answer
    x = 348.08

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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.