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Finding the Fourth Proportional to 890.14, 1,335.17 and 305.20

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Solution

The fourth proportional to 890.14, 1,335.17 and 305.20 is: 457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.14 : 1,335.17 = 305.20 : x
  2. Step 2: Convert to fraction form
    890.14/1,335.17 = 305.20/x
  3. Step 3: Cross multiply
    890.14x = 1,335.17 × 305.20
  4. Step 4: Simplify right side
    890.14x = 407,493.88
  5. Step 5: Solve for x
    x = 407,493.88/890.14
  6. Step 6: Final answer
    x = 457.79

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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.