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Finding the Fourth Proportional to 665.83, 996.31 and 557.69

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Solution

The fourth proportional to 665.83, 996.31 and 557.69 is: 834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.83 : 996.31 = 557.69 : x
  2. Step 2: Convert to fraction form
    665.83/996.31 = 557.69/x
  3. Step 3: Cross multiply
    665.83x = 996.31 × 557.69
  4. Step 4: Simplify right side
    665.83x = 555,633.22
  5. Step 5: Solve for x
    x = 555,633.22/665.83
  6. Step 6: Final answer
    x = 834.50

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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.