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Finding the Fourth Proportional to 735.38, 1,102.61 and 324

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Solution

The fourth proportional to 735.38, 1,102.61 and 324 is: 485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.38 : 1,102.61 = 324 : x
  2. Step 2: Convert to fraction form
    735.38/1,102.61 = 324/x
  3. Step 3: Cross multiply
    735.38x = 1,102.61 × 324
  4. Step 4: Simplify right side
    735.38x = 357,246.45
  5. Step 5: Solve for x
    x = 357,246.45/735.38
  6. Step 6: Final answer
    x = 485.80

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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.