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Finding the Fourth Proportional to 735.28, 1,102.71 and 324.33

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Solution

The fourth proportional to 735.28, 1,102.71 and 324.33 is: 486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.28 : 1,102.71 = 324.33 : x
  2. Step 2: Convert to fraction form
    735.28/1,102.71 = 324.33/x
  3. Step 3: Cross multiply
    735.28x = 1,102.71 × 324.33
  4. Step 4: Simplify right side
    735.28x = 357,641.93
  5. Step 5: Solve for x
    x = 357,641.93/735.28
  6. Step 6: Final answer
    x = 486.40

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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.