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Finding the Fourth Proportional to 532.23, 798.27 and 239.75

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Solution

The fourth proportional to 532.23, 798.27 and 239.75 is: 359.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.23 : 798.27 = 239.75 : x
  2. Step 2: Convert to fraction form
    532.23/798.27 = 239.75/x
  3. Step 3: Cross multiply
    532.23x = 798.27 × 239.75
  4. Step 4: Simplify right side
    532.23x = 191,385.23
  5. Step 5: Solve for x
    x = 191,385.23/532.23
  6. Step 6: Final answer
    x = 359.59

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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.