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Finding the Fourth Proportional to 890.38, 1,335.57 and 241.10

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Solution

The fourth proportional to 890.38, 1,335.57 and 241.10 is: 361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.38 : 1,335.57 = 241.10 : x
  2. Step 2: Convert to fraction form
    890.38/1,335.57 = 241.10/x
  3. Step 3: Cross multiply
    890.38x = 1,335.57 × 241.10
  4. Step 4: Simplify right side
    890.38x = 321,999.25
  5. Step 5: Solve for x
    x = 321,999.25/890.38
  6. Step 6: Final answer
    x = 361.64

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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.