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Finding the Fourth Proportional to 546.23, 819.05 and 285.59

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Solution

The fourth proportional to 546.23, 819.05 and 285.59 is: 428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.23 : 819.05 = 285.59 : x
  2. Step 2: Convert to fraction form
    546.23/819.05 = 285.59/x
  3. Step 3: Cross multiply
    546.23x = 819.05 × 285.59
  4. Step 4: Simplify right side
    546.23x = 233,913.11
  5. Step 5: Solve for x
    x = 233,913.11/546.23
  6. Step 6: Final answer
    x = 428.23

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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.