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Finding the Fourth Proportional to 665.16, 998.19 and 232.32

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Solution

The fourth proportional to 665.16, 998.19 and 232.32 is: 348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.16 : 998.19 = 232.32 : x
  2. Step 2: Convert to fraction form
    665.16/998.19 = 232.32/x
  3. Step 3: Cross multiply
    665.16x = 998.19 × 232.32
  4. Step 4: Simplify right side
    665.16x = 231,899.50
  5. Step 5: Solve for x
    x = 231,899.50/665.16
  6. Step 6: Final answer
    x = 348.64

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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.