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Finding the Fourth Proportional to 890.53, 1,335.94 and 274.19

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Solution

The fourth proportional to 890.53, 1,335.94 and 274.19 is: 411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.53 : 1,335.94 = 274.19 : x
  2. Step 2: Convert to fraction form
    890.53/1,335.94 = 274.19/x
  3. Step 3: Cross multiply
    890.53x = 1,335.94 × 274.19
  4. Step 4: Simplify right side
    890.53x = 366,294.02
  5. Step 5: Solve for x
    x = 366,294.02/890.53
  6. Step 6: Final answer
    x = 411.32

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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.