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Finding the Fourth Proportional to 308.13, 458.88 and 289.50

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Solution

The fourth proportional to 308.13, 458.88 and 289.50 is: 431.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.13 : 458.88 = 289.50 : x
  2. Step 2: Convert to fraction form
    308.13/458.88 = 289.50/x
  3. Step 3: Cross multiply
    308.13x = 458.88 × 289.50
  4. Step 4: Simplify right side
    308.13x = 132,845.76
  5. Step 5: Solve for x
    x = 132,845.76/308.13
  6. Step 6: Final answer
    x = 431.14

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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.