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Finding the Fourth Proportional to 547.29, 820.98 and 364.23

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Solution

The fourth proportional to 547.29, 820.98 and 364.23 is: 546.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.29 : 820.98 = 364.23 : x
  2. Step 2: Convert to fraction form
    547.29/820.98 = 364.23/x
  3. Step 3: Cross multiply
    547.29x = 820.98 × 364.23
  4. Step 4: Simplify right side
    547.29x = 299,025.55
  5. Step 5: Solve for x
    x = 299,025.55/547.29
  6. Step 6: Final answer
    x = 546.37

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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.