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Finding the Fourth Proportional to 469.29, 704.07 and 144.66

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Solution

The fourth proportional to 469.29, 704.07 and 144.66 is: 217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.29 : 704.07 = 144.66 : x
  2. Step 2: Convert to fraction form
    469.29/704.07 = 144.66/x
  3. Step 3: Cross multiply
    469.29x = 704.07 × 144.66
  4. Step 4: Simplify right side
    469.29x = 101,850.77
  5. Step 5: Solve for x
    x = 101,850.77/469.29
  6. Step 6: Final answer
    x = 217.03

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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.