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Finding the Fourth Proportional to 916.50, 1,374.92 and 300.24

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Solution

The fourth proportional to 916.50, 1,374.92 and 300.24 is: 450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.50 : 1,374.92 = 300.24 : x
  2. Step 2: Convert to fraction form
    916.50/1,374.92 = 300.24/x
  3. Step 3: Cross multiply
    916.50x = 1,374.92 × 300.24
  4. Step 4: Simplify right side
    916.50x = 412,813.09
  5. Step 5: Solve for x
    x = 412,813.09/916.50
  6. Step 6: Final answer
    x = 450.42

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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.