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Finding the Fourth Proportional to 546.57, 818.54 and 299.16

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Solution

The fourth proportional to 546.57, 818.54 and 299.16 is: 448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.57 : 818.54 = 299.16 : x
  2. Step 2: Convert to fraction form
    546.57/818.54 = 299.16/x
  3. Step 3: Cross multiply
    546.57x = 818.54 × 299.16
  4. Step 4: Simplify right side
    546.57x = 244,874.43
  5. Step 5: Solve for x
    x = 244,874.43/546.57
  6. Step 6: Final answer
    x = 448.02

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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.