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Finding the Fourth Proportional to 350.62, 483.84 and 210.74

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Solution

The fourth proportional to 350.62, 483.84 and 210.74 is: 290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.62 : 483.84 = 210.74 : x
  2. Step 2: Convert to fraction form
    350.62/483.84 = 210.74/x
  3. Step 3: Cross multiply
    350.62x = 483.84 × 210.74
  4. Step 4: Simplify right side
    350.62x = 101,964.44
  5. Step 5: Solve for x
    x = 101,964.44/350.62
  6. Step 6: Final answer
    x = 290.81

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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.