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Finding the Fourth Proportional to 546.60, 820.50 and 364.38

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Solution

The fourth proportional to 546.60, 820.50 and 364.38 is: 546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.60 : 820.50 = 364.38 : x
  2. Step 2: Convert to fraction form
    546.60/820.50 = 364.38/x
  3. Step 3: Cross multiply
    546.60x = 820.50 × 364.38
  4. Step 4: Simplify right side
    546.60x = 298,973.79
  5. Step 5: Solve for x
    x = 298,973.79/546.60
  6. Step 6: Final answer
    x = 546.97

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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.