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Finding the Fourth Proportional to 916.46, 1,374.22 and 299.77

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Solution

The fourth proportional to 916.46, 1,374.22 and 299.77 is: 449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.46 : 1,374.22 = 299.77 : x
  2. Step 2: Convert to fraction form
    916.46/1,374.22 = 299.77/x
  3. Step 3: Cross multiply
    916.46x = 1,374.22 × 299.77
  4. Step 4: Simplify right side
    916.46x = 411,949.93
  5. Step 5: Solve for x
    x = 411,949.93/916.46
  6. Step 6: Final answer
    x = 449.50

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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.