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Finding the Fourth Proportional to 735.41, 1,102.97 and 215.29

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Solution

The fourth proportional to 735.41, 1,102.97 and 215.29 is: 322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.41 : 1,102.97 = 215.29 : x
  2. Step 2: Convert to fraction form
    735.41/1,102.97 = 215.29/x
  3. Step 3: Cross multiply
    735.41x = 1,102.97 × 215.29
  4. Step 4: Simplify right side
    735.41x = 237,458.41
  5. Step 5: Solve for x
    x = 237,458.41/735.41
  6. Step 6: Final answer
    x = 322.89

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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.