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Finding the Fourth Proportional to 735.08, 1,101.70 and 323.80

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Solution

The fourth proportional to 735.08, 1,101.70 and 323.80 is: 485.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.08 : 1,101.70 = 323.80 : x
  2. Step 2: Convert to fraction form
    735.08/1,101.70 = 323.80/x
  3. Step 3: Cross multiply
    735.08x = 1,101.70 × 323.80
  4. Step 4: Simplify right side
    735.08x = 356,728.11
  5. Step 5: Solve for x
    x = 356,728.11/735.08
  6. Step 6: Final answer
    x = 485.29

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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.