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Finding the Fourth Proportional to 890.64, 1,335.97 and 274.35

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Solution

The fourth proportional to 890.64, 1,335.97 and 274.35 is: 411.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.64 : 1,335.97 = 274.35 : x
  2. Step 2: Convert to fraction form
    890.64/1,335.97 = 274.35/x
  3. Step 3: Cross multiply
    890.64x = 1,335.97 × 274.35
  4. Step 4: Simplify right side
    890.64x = 366,522.68
  5. Step 5: Solve for x
    x = 366,522.68/890.64
  6. Step 6: Final answer
    x = 411.53

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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.