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Finding the Fourth Proportional to 532.75, 798.57 and 224.77

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Solution

The fourth proportional to 532.75, 798.57 and 224.77 is: 336.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.75 : 798.57 = 224.77 : x
  2. Step 2: Convert to fraction form
    532.75/798.57 = 224.77/x
  3. Step 3: Cross multiply
    532.75x = 798.57 × 224.77
  4. Step 4: Simplify right side
    532.75x = 179,494.58
  5. Step 5: Solve for x
    x = 179,494.58/532.75
  6. Step 6: Final answer
    x = 336.92

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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.