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Finding the Fourth Proportional to 289.71, 434.16 and 228.96

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Solution

The fourth proportional to 289.71, 434.16 and 228.96 is: 343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.71 : 434.16 = 228.96 : x
  2. Step 2: Convert to fraction form
    289.71/434.16 = 228.96/x
  3. Step 3: Cross multiply
    289.71x = 434.16 × 228.96
  4. Step 4: Simplify right side
    289.71x = 99,405.27
  5. Step 5: Solve for x
    x = 99,405.27/289.71
  6. Step 6: Final answer
    x = 343.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.