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Finding the Fourth Proportional to 548.02, 820.90 and 364.83

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Solution

The fourth proportional to 548.02, 820.90 and 364.83 is: 546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.02 : 820.90 = 364.83 : x
  2. Step 2: Convert to fraction form
    548.02/820.90 = 364.83/x
  3. Step 3: Cross multiply
    548.02x = 820.90 × 364.83
  4. Step 4: Simplify right side
    548.02x = 299,488.95
  5. Step 5: Solve for x
    x = 299,488.95/548.02
  6. Step 6: Final answer
    x = 546.49

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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.