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Finding the Fourth Proportional to 890.33, 1,335.75 and 305.41

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Solution

The fourth proportional to 890.33, 1,335.75 and 305.41 is: 458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.33 : 1,335.75 = 305.41 : x
  2. Step 2: Convert to fraction form
    890.33/1,335.75 = 305.41/x
  3. Step 3: Cross multiply
    890.33x = 1,335.75 × 305.41
  4. Step 4: Simplify right side
    890.33x = 407,943.20
  5. Step 5: Solve for x
    x = 407,943.20/890.33
  6. Step 6: Final answer
    x = 458.19

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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.