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Finding the Fourth Proportional to 546.22, 753.58 and 359.80

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Solution

The fourth proportional to 546.22, 753.58 and 359.80 is: 496.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.22 : 753.58 = 359.80 : x
  2. Step 2: Convert to fraction form
    546.22/753.58 = 359.80/x
  3. Step 3: Cross multiply
    546.22x = 753.58 × 359.80
  4. Step 4: Simplify right side
    546.22x = 271,138.08
  5. Step 5: Solve for x
    x = 271,138.08/546.22
  6. Step 6: Final answer
    x = 496.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.