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Finding the Fourth Proportional to 289.38, 435.64 and 224.76

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Solution

The fourth proportional to 289.38, 435.64 and 224.76 is: 338.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.38 : 435.64 = 224.76 : x
  2. Step 2: Convert to fraction form
    289.38/435.64 = 224.76/x
  3. Step 3: Cross multiply
    289.38x = 435.64 × 224.76
  4. Step 4: Simplify right side
    289.38x = 97,913.88
  5. Step 5: Solve for x
    x = 97,913.88/289.38
  6. Step 6: Final answer
    x = 338.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.