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Finding the Fourth Proportional to 546.73, 818.92 and 497.71

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Solution

The fourth proportional to 546.73, 818.92 and 497.71 is: 745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.73 : 818.92 = 497.71 : x
  2. Step 2: Convert to fraction form
    546.73/818.92 = 497.71/x
  3. Step 3: Cross multiply
    546.73x = 818.92 × 497.71
  4. Step 4: Simplify right side
    546.73x = 407,584.67
  5. Step 5: Solve for x
    x = 407,584.67/546.73
  6. Step 6: Final answer
    x = 745.50

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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.