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Finding the Fourth Proportional to 289.53, 399.93 and 224.85

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Solution

The fourth proportional to 289.53, 399.93 and 224.85 is: 310.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.53 : 399.93 = 224.85 : x
  2. Step 2: Convert to fraction form
    289.53/399.93 = 224.85/x
  3. Step 3: Cross multiply
    289.53x = 399.93 × 224.85
  4. Step 4: Simplify right side
    289.53x = 89,924.26
  5. Step 5: Solve for x
    x = 89,924.26/289.53
  6. Step 6: Final answer
    x = 310.59

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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.