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Finding the Fourth Proportional to 846.59, 1,269.86 and 333.59

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Solution

The fourth proportional to 846.59, 1,269.86 and 333.59 is: 500.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.59 : 1,269.86 = 333.59 : x
  2. Step 2: Convert to fraction form
    846.59/1,269.86 = 333.59/x
  3. Step 3: Cross multiply
    846.59x = 1,269.86 × 333.59
  4. Step 4: Simplify right side
    846.59x = 423,604.58
  5. Step 5: Solve for x
    x = 423,604.58/846.59
  6. Step 6: Final answer
    x = 500.37

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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.