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Finding the Fourth Proportional to 289.68, 399.62 and 224.28

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Solution

The fourth proportional to 289.68, 399.62 and 224.28 is: 309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.68 : 399.62 = 224.28 : x
  2. Step 2: Convert to fraction form
    289.68/399.62 = 224.28/x
  3. Step 3: Cross multiply
    289.68x = 399.62 × 224.28
  4. Step 4: Simplify right side
    289.68x = 89,626.77
  5. Step 5: Solve for x
    x = 89,626.77/289.68
  6. Step 6: Final answer
    x = 309.40

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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.