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Finding the Fourth Proportional to 916.34, 1,374.22 and 299.90

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Solution

The fourth proportional to 916.34, 1,374.22 and 299.90 is: 449.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.34 : 1,374.22 = 299.90 : x
  2. Step 2: Convert to fraction form
    916.34/1,374.22 = 299.90/x
  3. Step 3: Cross multiply
    916.34x = 1,374.22 × 299.90
  4. Step 4: Simplify right side
    916.34x = 412,131.26
  5. Step 5: Solve for x
    x = 412,131.26/916.34
  6. Step 6: Final answer
    x = 449.76

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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.