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Finding the Fourth Proportional to 890.69, 1,336.14 and 305.80

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Solution

The fourth proportional to 890.69, 1,336.14 and 305.80 is: 458.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.69 : 1,336.14 = 305.80 : x
  2. Step 2: Convert to fraction form
    890.69/1,336.14 = 305.80/x
  3. Step 3: Cross multiply
    890.69x = 1,336.14 × 305.80
  4. Step 4: Simplify right side
    890.69x = 408,591.61
  5. Step 5: Solve for x
    x = 408,591.61/890.69
  6. Step 6: Final answer
    x = 458.74

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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.