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Finding the Fourth Proportional to 854.91, 1,282.67 and 299.70

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Solution

The fourth proportional to 854.91, 1,282.67 and 299.70 is: 449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.91 : 1,282.67 = 299.70 : x
  2. Step 2: Convert to fraction form
    854.91/1,282.67 = 299.70/x
  3. Step 3: Cross multiply
    854.91x = 1,282.67 × 299.70
  4. Step 4: Simplify right side
    854.91x = 384,416.20
  5. Step 5: Solve for x
    x = 384,416.20/854.91
  6. Step 6: Final answer
    x = 449.66

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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.