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Finding the Fourth Proportional to 916.36, 1,374.75 and 300.05

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Solution

The fourth proportional to 916.36, 1,374.75 and 300.05 is: 450.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.36 : 1,374.75 = 300.05 : x
  2. Step 2: Convert to fraction form
    916.36/1,374.75 = 300.05/x
  3. Step 3: Cross multiply
    916.36x = 1,374.75 × 300.05
  4. Step 4: Simplify right side
    916.36x = 412,490.89
  5. Step 5: Solve for x
    x = 412,490.89/916.36
  6. Step 6: Final answer
    x = 450.14

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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.