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Finding the Fourth Proportional to 671.91, 1,007.51 and 239.01

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Solution

The fourth proportional to 671.91, 1,007.51 and 239.01 is: 358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.91 : 1,007.51 = 239.01 : x
  2. Step 2: Convert to fraction form
    671.91/1,007.51 = 239.01/x
  3. Step 3: Cross multiply
    671.91x = 1,007.51 × 239.01
  4. Step 4: Simplify right side
    671.91x = 240,803.77
  5. Step 5: Solve for x
    x = 240,803.77/671.91
  6. Step 6: Final answer
    x = 358.39

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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.