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Finding the Fourth Proportional to 665.59, 998.08 and 391.81

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Solution

The fourth proportional to 665.59, 998.08 and 391.81 is: 587.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.59 : 998.08 = 391.81 : x
  2. Step 2: Convert to fraction form
    665.59/998.08 = 391.81/x
  3. Step 3: Cross multiply
    665.59x = 998.08 × 391.81
  4. Step 4: Simplify right side
    665.59x = 391,057.72
  5. Step 5: Solve for x
    x = 391,057.72/665.59
  6. Step 6: Final answer
    x = 587.54

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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.