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Finding the Fourth Proportional to 546.05, 818.64 and 253.73

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Solution

The fourth proportional to 546.05, 818.64 and 253.73 is: 380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.05 : 818.64 = 253.73 : x
  2. Step 2: Convert to fraction form
    546.05/818.64 = 253.73/x
  3. Step 3: Cross multiply
    546.05x = 818.64 × 253.73
  4. Step 4: Simplify right side
    546.05x = 207,715.57
  5. Step 5: Solve for x
    x = 207,715.57/546.05
  6. Step 6: Final answer
    x = 380.39

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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.