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Finding the Fourth Proportional to 916.41, 1,374.63 and 300.15

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Solution

The fourth proportional to 916.41, 1,374.63 and 300.15 is: 450.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.41 : 1,374.63 = 300.15 : x
  2. Step 2: Convert to fraction form
    916.41/1,374.63 = 300.15/x
  3. Step 3: Cross multiply
    916.41x = 1,374.63 × 300.15
  4. Step 4: Simplify right side
    916.41x = 412,595.19
  5. Step 5: Solve for x
    x = 412,595.19/916.41
  6. Step 6: Final answer
    x = 450.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.