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Finding the Fourth Proportional to 532.42, 798.10 and 224.48

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Solution

The fourth proportional to 532.42, 798.10 and 224.48 is: 336.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.42 : 798.10 = 224.48 : x
  2. Step 2: Convert to fraction form
    532.42/798.10 = 224.48/x
  3. Step 3: Cross multiply
    532.42x = 798.10 × 224.48
  4. Step 4: Simplify right side
    532.42x = 179,157.49
  5. Step 5: Solve for x
    x = 179,157.49/532.42
  6. Step 6: Final answer
    x = 336.50

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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.