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Finding the Fourth Proportional to 701.65, 1,052.38 and 233.14

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Solution

The fourth proportional to 701.65, 1,052.38 and 233.14 is: 349.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.65 : 1,052.38 = 233.14 : x
  2. Step 2: Convert to fraction form
    701.65/1,052.38 = 233.14/x
  3. Step 3: Cross multiply
    701.65x = 1,052.38 × 233.14
  4. Step 4: Simplify right side
    701.65x = 245,351.87
  5. Step 5: Solve for x
    x = 245,351.87/701.65
  6. Step 6: Final answer
    x = 349.68

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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.