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Finding the Fourth Proportional to 532.21, 797.62 and 223.66

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Solution

The fourth proportional to 532.21, 797.62 and 223.66 is: 335.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.21 : 797.62 = 223.66 : x
  2. Step 2: Convert to fraction form
    532.21/797.62 = 223.66/x
  3. Step 3: Cross multiply
    532.21x = 797.62 × 223.66
  4. Step 4: Simplify right side
    532.21x = 178,391.70
  5. Step 5: Solve for x
    x = 178,391.70/532.21
  6. Step 6: Final answer
    x = 335.19

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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.