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Finding the Fourth Proportional to 671.99, 1,007.82 and 239.05

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Solution

The fourth proportional to 671.99, 1,007.82 and 239.05 is: 358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.99 : 1,007.82 = 239.05 : x
  2. Step 2: Convert to fraction form
    671.99/1,007.82 = 239.05/x
  3. Step 3: Cross multiply
    671.99x = 1,007.82 × 239.05
  4. Step 4: Simplify right side
    671.99x = 240,914.29
  5. Step 5: Solve for x
    x = 240,914.29/671.99
  6. Step 6: Final answer
    x = 358.51

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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.