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Finding the Fourth Proportional to 890.83, 1,336.07 and 305.81

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Solution

The fourth proportional to 890.83, 1,336.07 and 305.81 is: 458.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.83 : 1,336.07 = 305.81 : x
  2. Step 2: Convert to fraction form
    890.83/1,336.07 = 305.81/x
  3. Step 3: Cross multiply
    890.83x = 1,336.07 × 305.81
  4. Step 4: Simplify right side
    890.83x = 408,576.89
  5. Step 5: Solve for x
    x = 408,576.89/890.83
  6. Step 6: Final answer
    x = 458.65

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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.