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Finding the Fourth Proportional to 469.52, 704.43 and 274.75

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Solution

The fourth proportional to 469.52, 704.43 and 274.75 is: 412.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.52 : 704.43 = 274.75 : x
  2. Step 2: Convert to fraction form
    469.52/704.43 = 274.75/x
  3. Step 3: Cross multiply
    469.52x = 704.43 × 274.75
  4. Step 4: Simplify right side
    469.52x = 193,542.14
  5. Step 5: Solve for x
    x = 193,542.14/469.52
  6. Step 6: Final answer
    x = 412.21

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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.