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Finding the Fourth Proportional to 547.55, 820.24 and 354.77

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Solution

The fourth proportional to 547.55, 820.24 and 354.77 is: 531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.55 : 820.24 = 354.77 : x
  2. Step 2: Convert to fraction form
    547.55/820.24 = 354.77/x
  3. Step 3: Cross multiply
    547.55x = 820.24 × 354.77
  4. Step 4: Simplify right side
    547.55x = 290,996.54
  5. Step 5: Solve for x
    x = 290,996.54/547.55
  6. Step 6: Final answer
    x = 531.45

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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.