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Finding the Fourth Proportional to 916.21, 1,374.29 and 299.92

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Solution

The fourth proportional to 916.21, 1,374.29 and 299.92 is: 449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.21 : 1,374.29 = 299.92 : x
  2. Step 2: Convert to fraction form
    916.21/1,374.29 = 299.92/x
  3. Step 3: Cross multiply
    916.21x = 1,374.29 × 299.92
  4. Step 4: Simplify right side
    916.21x = 412,177.06
  5. Step 5: Solve for x
    x = 412,177.06/916.21
  6. Step 6: Final answer
    x = 449.87

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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.