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Finding the Fourth Proportional to 916.21, 1,374.51 and 396.22

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Solution

The fourth proportional to 916.21, 1,374.51 and 396.22 is: 594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.21 : 1,374.51 = 396.22 : x
  2. Step 2: Convert to fraction form
    916.21/1,374.51 = 396.22/x
  3. Step 3: Cross multiply
    916.21x = 1,374.51 × 396.22
  4. Step 4: Simplify right side
    916.21x = 544,608.35
  5. Step 5: Solve for x
    x = 544,608.35/916.21
  6. Step 6: Final answer
    x = 594.41

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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.