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Finding the Fourth Proportional to 308, 459.22 and 289.64

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Solution

The fourth proportional to 308, 459.22 and 289.64 is: 431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    308 : 459.22 = 289.64 : x
  2. Step 2: Convert to fraction form
    308/459.22 = 289.64/x
  3. Step 3: Cross multiply
    308x = 459.22 × 289.64
  4. Step 4: Simplify right side
    308x = 133,008.48
  5. Step 5: Solve for x
    x = 133,008.48/308
  6. Step 6: Final answer
    x = 431.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.