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Finding the Fourth Proportional to 546.80, 820.28 and 238.64

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Solution

The fourth proportional to 546.80, 820.28 and 238.64 is: 357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.80 : 820.28 = 238.64 : x
  2. Step 2: Convert to fraction form
    546.80/820.28 = 238.64/x
  3. Step 3: Cross multiply
    546.80x = 820.28 × 238.64
  4. Step 4: Simplify right side
    546.80x = 195,746.32
  5. Step 5: Solve for x
    x = 195,746.32/546.80
  6. Step 6: Final answer
    x = 357.99

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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.