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Finding the Fourth Proportional to 701.26, 1,051.74 and 239.02

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Solution

The fourth proportional to 701.26, 1,051.74 and 239.02 is: 358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.26 : 1,051.74 = 239.02 : x
  2. Step 2: Convert to fraction form
    701.26/1,051.74 = 239.02/x
  3. Step 3: Cross multiply
    701.26x = 1,051.74 × 239.02
  4. Step 4: Simplify right side
    701.26x = 251,384.27
  5. Step 5: Solve for x
    x = 251,384.27/701.26
  6. Step 6: Final answer
    x = 358.48

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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.