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Finding the Fourth Proportional to 546.76, 820.28 and 258.13

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Solution

The fourth proportional to 546.76, 820.28 and 258.13 is: 387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.76 : 820.28 = 258.13 : x
  2. Step 2: Convert to fraction form
    546.76/820.28 = 258.13/x
  3. Step 3: Cross multiply
    546.76x = 820.28 × 258.13
  4. Step 4: Simplify right side
    546.76x = 211,738.88
  5. Step 5: Solve for x
    x = 211,738.88/546.76
  6. Step 6: Final answer
    x = 387.26

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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.