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Finding the Fourth Proportional to 546.53, 820.13 and 221.90

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Solution

The fourth proportional to 546.53, 820.13 and 221.90 is: 332.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.53 : 820.13 = 221.90 : x
  2. Step 2: Convert to fraction form
    546.53/820.13 = 221.90/x
  3. Step 3: Cross multiply
    546.53x = 820.13 × 221.90
  4. Step 4: Simplify right side
    546.53x = 181,981.64
  5. Step 5: Solve for x
    x = 181,981.64/546.53
  6. Step 6: Final answer
    x = 332.98

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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.