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Finding the Fourth Proportional to 546.63, 819.81 and 315.78

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Solution

The fourth proportional to 546.63, 819.81 and 315.78 is: 473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.63 : 819.81 = 315.78 : x
  2. Step 2: Convert to fraction form
    546.63/819.81 = 315.78/x
  3. Step 3: Cross multiply
    546.63x = 819.81 × 315.78
  4. Step 4: Simplify right side
    546.63x = 258,879.60
  5. Step 5: Solve for x
    x = 258,879.60/546.63
  6. Step 6: Final answer
    x = 473.59

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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.