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Finding the Fourth Proportional to 546.36, 754.06 and 350

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Solution

The fourth proportional to 546.36, 754.06 and 350 is: 483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.36 : 754.06 = 350 : x
  2. Step 2: Convert to fraction form
    546.36/754.06 = 350/x
  3. Step 3: Cross multiply
    546.36x = 754.06 × 350
  4. Step 4: Simplify right side
    546.36x = 263,921
  5. Step 5: Solve for x
    x = 263,921/546.36
  6. Step 6: Final answer
    x = 483.05

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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.