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Finding the Fourth Proportional to 546.94, 753.73 and 350.11

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Solution

The fourth proportional to 546.94, 753.73 and 350.11 is: 482.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.94 : 753.73 = 350.11 : x
  2. Step 2: Convert to fraction form
    546.94/753.73 = 350.11/x
  3. Step 3: Cross multiply
    546.94x = 753.73 × 350.11
  4. Step 4: Simplify right side
    546.94x = 263,885.65
  5. Step 5: Solve for x
    x = 263,885.65/546.94
  6. Step 6: Final answer
    x = 482.48

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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.