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Finding the Fourth Proportional to 670.69, 1,006.44 and 237.79

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Solution

The fourth proportional to 670.69, 1,006.44 and 237.79 is: 356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.69 : 1,006.44 = 237.79 : x
  2. Step 2: Convert to fraction form
    670.69/1,006.44 = 237.79/x
  3. Step 3: Cross multiply
    670.69x = 1,006.44 × 237.79
  4. Step 4: Simplify right side
    670.69x = 239,321.37
  5. Step 5: Solve for x
    x = 239,321.37/670.69
  6. Step 6: Final answer
    x = 356.83

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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.