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Finding the Fourth Proportional to 469.09, 703.69 and 274.39

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Solution

The fourth proportional to 469.09, 703.69 and 274.39 is: 411.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.09 : 703.69 = 274.39 : x
  2. Step 2: Convert to fraction form
    469.09/703.69 = 274.39/x
  3. Step 3: Cross multiply
    469.09x = 703.69 × 274.39
  4. Step 4: Simplify right side
    469.09x = 193,083.05
  5. Step 5: Solve for x
    x = 193,083.05/469.09
  6. Step 6: Final answer
    x = 411.61

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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.