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Finding the Fourth Proportional to 916.26, 1,374 and 291.41

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Solution

The fourth proportional to 916.26, 1,374 and 291.41 is: 436.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.26 : 1,374 = 291.41 : x
  2. Step 2: Convert to fraction form
    916.26/1,374 = 291.41/x
  3. Step 3: Cross multiply
    916.26x = 1,374 × 291.41
  4. Step 4: Simplify right side
    916.26x = 400,397.34
  5. Step 5: Solve for x
    x = 400,397.34/916.26
  6. Step 6: Final answer
    x = 436.99

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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.