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Finding the Fourth Proportional to 462.21, 693.36 and 215.26

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Solution

The fourth proportional to 462.21, 693.36 and 215.26 is: 322.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.21 : 693.36 = 215.26 : x
  2. Step 2: Convert to fraction form
    462.21/693.36 = 215.26/x
  3. Step 3: Cross multiply
    462.21x = 693.36 × 215.26
  4. Step 4: Simplify right side
    462.21x = 149,250.94
  5. Step 5: Solve for x
    x = 149,250.94/462.21
  6. Step 6: Final answer
    x = 322.91

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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.