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Finding the Fourth Proportional to 469.43, 704.25 and 180.87

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Solution

The fourth proportional to 469.43, 704.25 and 180.87 is: 271.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.43 : 704.25 = 180.87 : x
  2. Step 2: Convert to fraction form
    469.43/704.25 = 180.87/x
  3. Step 3: Cross multiply
    469.43x = 704.25 × 180.87
  4. Step 4: Simplify right side
    469.43x = 127,376.79
  5. Step 5: Solve for x
    x = 127,376.79/469.43
  6. Step 6: Final answer
    x = 271.34

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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.