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Finding the Fourth Proportional to 546.47, 820.05 and 238.35

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Solution

The fourth proportional to 546.47, 820.05 and 238.35 is: 357.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.47 : 820.05 = 238.35 : x
  2. Step 2: Convert to fraction form
    546.47/820.05 = 238.35/x
  3. Step 3: Cross multiply
    546.47x = 820.05 × 238.35
  4. Step 4: Simplify right side
    546.47x = 195,458.92
  5. Step 5: Solve for x
    x = 195,458.92/546.47
  6. Step 6: Final answer
    x = 357.68

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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.