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Finding the Fourth Proportional to 532.08, 797.71 and 243.31

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Solution

The fourth proportional to 532.08, 797.71 and 243.31 is: 364.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.08 : 797.71 = 243.31 : x
  2. Step 2: Convert to fraction form
    532.08/797.71 = 243.31/x
  3. Step 3: Cross multiply
    532.08x = 797.71 × 243.31
  4. Step 4: Simplify right side
    532.08x = 194,090.82
  5. Step 5: Solve for x
    x = 194,090.82/532.08
  6. Step 6: Final answer
    x = 364.78

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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.