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Finding the Fourth Proportional to 890.02, 1,335.20 and 273.75

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Solution

The fourth proportional to 890.02, 1,335.20 and 273.75 is: 410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.02 : 1,335.20 = 273.75 : x
  2. Step 2: Convert to fraction form
    890.02/1,335.20 = 273.75/x
  3. Step 3: Cross multiply
    890.02x = 1,335.20 × 273.75
  4. Step 4: Simplify right side
    890.02x = 365,511
  5. Step 5: Solve for x
    x = 365,511/890.02
  6. Step 6: Final answer
    x = 410.68

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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.