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Finding the Fourth Proportional to 701.47, 1,052.32 and 214.41

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Solution

The fourth proportional to 701.47, 1,052.32 and 214.41 is: 321.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.47 : 1,052.32 = 214.41 : x
  2. Step 2: Convert to fraction form
    701.47/1,052.32 = 214.41/x
  3. Step 3: Cross multiply
    701.47x = 1,052.32 × 214.41
  4. Step 4: Simplify right side
    701.47x = 225,624.45
  5. Step 5: Solve for x
    x = 225,624.45/701.47
  6. Step 6: Final answer
    x = 321.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.