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Finding the Fourth Proportional to 289.76, 434.64 and 193.28

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Solution

The fourth proportional to 289.76, 434.64 and 193.28 is: 289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.76 : 434.64 = 193.28 : x
  2. Step 2: Convert to fraction form
    289.76/434.64 = 193.28/x
  3. Step 3: Cross multiply
    289.76x = 434.64 × 193.28
  4. Step 4: Simplify right side
    289.76x = 84,007.22
  5. Step 5: Solve for x
    x = 84,007.22/289.76
  6. Step 6: Final answer
    x = 289.92

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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.