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Finding the Fourth Proportional to 546.87, 754.76 and 350.31

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Solution

The fourth proportional to 546.87, 754.76 and 350.31 is: 483.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.87 : 754.76 = 350.31 : x
  2. Step 2: Convert to fraction form
    546.87/754.76 = 350.31/x
  3. Step 3: Cross multiply
    546.87x = 754.76 × 350.31
  4. Step 4: Simplify right side
    546.87x = 264,398.22
  5. Step 5: Solve for x
    x = 264,398.22/546.87
  6. Step 6: Final answer
    x = 483.48

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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.