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Finding the Fourth Proportional to 350.45, 483.60 and 219.53

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Solution

The fourth proportional to 350.45, 483.60 and 219.53 is: 302.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.45 : 483.60 = 219.53 : x
  2. Step 2: Convert to fraction form
    350.45/483.60 = 219.53/x
  3. Step 3: Cross multiply
    350.45x = 483.60 × 219.53
  4. Step 4: Simplify right side
    350.45x = 106,162.29
  5. Step 5: Solve for x
    x = 106,162.29/350.45
  6. Step 6: Final answer
    x = 302.94

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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.