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Finding the Fourth Proportional to 546.86, 820.58 and 238.85

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Solution

The fourth proportional to 546.86, 820.58 and 238.85 is: 358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.86 : 820.58 = 238.85 : x
  2. Step 2: Convert to fraction form
    546.86/820.58 = 238.85/x
  3. Step 3: Cross multiply
    546.86x = 820.58 × 238.85
  4. Step 4: Simplify right side
    546.86x = 195,990.24
  5. Step 5: Solve for x
    x = 195,990.24/546.86
  6. Step 6: Final answer
    x = 358.40

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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.