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Finding the Fourth Proportional to 890.58, 1,335.70 and 305.56

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Solution

The fourth proportional to 890.58, 1,335.70 and 305.56 is: 458.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.58 : 1,335.70 = 305.56 : x
  2. Step 2: Convert to fraction form
    890.58/1,335.70 = 305.56/x
  3. Step 3: Cross multiply
    890.58x = 1,335.70 × 305.56
  4. Step 4: Simplify right side
    890.58x = 408,128.29
  5. Step 5: Solve for x
    x = 408,128.29/890.58
  6. Step 6: Final answer
    x = 458.27

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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.