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Finding the Fourth Proportional to 916.74, 1,374.26 and 396.41

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Solution

The fourth proportional to 916.74, 1,374.26 and 396.41 is: 594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.74 : 1,374.26 = 396.41 : x
  2. Step 2: Convert to fraction form
    916.74/1,374.26 = 396.41/x
  3. Step 3: Cross multiply
    916.74x = 1,374.26 × 396.41
  4. Step 4: Simplify right side
    916.74x = 544,770.41
  5. Step 5: Solve for x
    x = 544,770.41/916.74
  6. Step 6: Final answer
    x = 594.25

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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.