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Finding the Fourth Proportional to 546.48, 820.26 and 341.28

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Solution

The fourth proportional to 546.48, 820.26 and 341.28 is: 512.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.48 : 820.26 = 341.28 : x
  2. Step 2: Convert to fraction form
    546.48/820.26 = 341.28/x
  3. Step 3: Cross multiply
    546.48x = 820.26 × 341.28
  4. Step 4: Simplify right side
    546.48x = 279,938.33
  5. Step 5: Solve for x
    x = 279,938.33/546.48
  6. Step 6: Final answer
    x = 512.26

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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.