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Finding the Fourth Proportional to 532.06, 797.23 and 349.31

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Solution

The fourth proportional to 532.06, 797.23 and 349.31 is: 523.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.06 : 797.23 = 349.31 : x
  2. Step 2: Convert to fraction form
    532.06/797.23 = 349.31/x
  3. Step 3: Cross multiply
    532.06x = 797.23 × 349.31
  4. Step 4: Simplify right side
    532.06x = 278,479.54
  5. Step 5: Solve for x
    x = 278,479.54/532.06
  6. Step 6: Final answer
    x = 523.40

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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.