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Finding the Fourth Proportional to 308.10, 459.14 and 289.50

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Solution

The fourth proportional to 308.10, 459.14 and 289.50 is: 431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.10 : 459.14 = 289.50 : x
  2. Step 2: Convert to fraction form
    308.10/459.14 = 289.50/x
  3. Step 3: Cross multiply
    308.10x = 459.14 × 289.50
  4. Step 4: Simplify right side
    308.10x = 132,919.58
  5. Step 5: Solve for x
    x = 132,919.58/308.10
  6. Step 6: Final answer
    x = 431.42

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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.