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Finding the Fourth Proportional to 546.57, 820.01 and 238.45

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Solution

The fourth proportional to 546.57, 820.01 and 238.45 is: 357.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.57 : 820.01 = 238.45 : x
  2. Step 2: Convert to fraction form
    546.57/820.01 = 238.45/x
  3. Step 3: Cross multiply
    546.57x = 820.01 × 238.45
  4. Step 4: Simplify right side
    546.57x = 195,533.43
  5. Step 5: Solve for x
    x = 195,533.43/546.57
  6. Step 6: Final answer
    x = 357.74

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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.