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Finding the Fourth Proportional to 532.23, 797.76 and 224.00

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Solution

The fourth proportional to 532.23, 797.76 and 224.00 is: 335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.23 : 797.76 = 224.00 : x
  2. Step 2: Convert to fraction form
    532.23/797.76 = 224.00/x
  3. Step 3: Cross multiply
    532.23x = 797.76 × 224.00
  4. Step 4: Simplify right side
    532.23x = 178,693.13
  5. Step 5: Solve for x
    x = 178,693.13/532.23
  6. Step 6: Final answer
    x = 335.74

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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.