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Finding the Fourth Proportional to 532.17, 797.81 and 224.26

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Solution

The fourth proportional to 532.17, 797.81 and 224.26 is: 336.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.17 : 797.81 = 224.26 : x
  2. Step 2: Convert to fraction form
    532.17/797.81 = 224.26/x
  3. Step 3: Cross multiply
    532.17x = 797.81 × 224.26
  4. Step 4: Simplify right side
    532.17x = 178,916.87
  5. Step 5: Solve for x
    x = 178,916.87/532.17
  6. Step 6: Final answer
    x = 336.20

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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.