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Finding the Fourth Proportional to 289.04, 399.52 and 223.76

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Solution

The fourth proportional to 289.04, 399.52 and 223.76 is: 309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.04 : 399.52 = 223.76 : x
  2. Step 2: Convert to fraction form
    289.04/399.52 = 223.76/x
  3. Step 3: Cross multiply
    289.04x = 399.52 × 223.76
  4. Step 4: Simplify right side
    289.04x = 89,396.60
  5. Step 5: Solve for x
    x = 89,396.60/289.04
  6. Step 6: Final answer
    x = 309.29

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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.