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Finding the Fourth Proportional to 546.40, 820.01 and 299.62

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Solution

The fourth proportional to 546.40, 820.01 and 299.62 is: 449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.40 : 820.01 = 299.62 : x
  2. Step 2: Convert to fraction form
    546.40/820.01 = 299.62/x
  3. Step 3: Cross multiply
    546.40x = 820.01 × 299.62
  4. Step 4: Simplify right side
    546.40x = 245,691.40
  5. Step 5: Solve for x
    x = 245,691.40/546.40
  6. Step 6: Final answer
    x = 449.65

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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.