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Finding the Fourth Proportional to 546.50, 817.85 and 447.86

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Solution

The fourth proportional to 546.50, 817.85 and 447.86 is: 670.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.50 : 817.85 = 447.86 : x
  2. Step 2: Convert to fraction form
    546.50/817.85 = 447.86/x
  3. Step 3: Cross multiply
    546.50x = 817.85 × 447.86
  4. Step 4: Simplify right side
    546.50x = 366,285.47
  5. Step 5: Solve for x
    x = 366,285.47/546.50
  6. Step 6: Final answer
    x = 670.24

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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.