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Finding the Fourth Proportional to 469.56, 704.09 and 274.61

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Solution

The fourth proportional to 469.56, 704.09 and 274.61 is: 411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.56 : 704.09 = 274.61 : x
  2. Step 2: Convert to fraction form
    469.56/704.09 = 274.61/x
  3. Step 3: Cross multiply
    469.56x = 704.09 × 274.61
  4. Step 4: Simplify right side
    469.56x = 193,345.26
  5. Step 5: Solve for x
    x = 193,345.26/469.56
  6. Step 6: Final answer
    x = 411.76

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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.