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Finding the Fourth Proportional to 701.33, 1,052.06 and 238.98

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Solution

The fourth proportional to 701.33, 1,052.06 and 238.98 is: 358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.33 : 1,052.06 = 238.98 : x
  2. Step 2: Convert to fraction form
    701.33/1,052.06 = 238.98/x
  3. Step 3: Cross multiply
    701.33x = 1,052.06 × 238.98
  4. Step 4: Simplify right side
    701.33x = 251,424.05
  5. Step 5: Solve for x
    x = 251,424.05/701.33
  6. Step 6: Final answer
    x = 358.50

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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.