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Finding the Fourth Proportional to 665.37, 998.84 and 357.83

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Solution

The fourth proportional to 665.37, 998.84 and 357.83 is: 537.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.37 : 998.84 = 357.83 : x
  2. Step 2: Convert to fraction form
    665.37/998.84 = 357.83/x
  3. Step 3: Cross multiply
    665.37x = 998.84 × 357.83
  4. Step 4: Simplify right side
    665.37x = 357,414.92
  5. Step 5: Solve for x
    x = 357,414.92/665.37
  6. Step 6: Final answer
    x = 537.17

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