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Finding the Fourth Proportional to 306.99, 460.89 and 289.17

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Solution

The fourth proportional to 306.99, 460.89 and 289.17 is: 434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.99 : 460.89 = 289.17 : x
  2. Step 2: Convert to fraction form
    306.99/460.89 = 289.17/x
  3. Step 3: Cross multiply
    306.99x = 460.89 × 289.17
  4. Step 4: Simplify right side
    306.99x = 133,275.56
  5. Step 5: Solve for x
    x = 133,275.56/306.99
  6. Step 6: Final answer
    x = 434.14

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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.