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Finding the Fourth Proportional to 469.56, 704.19 and 144.82

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Solution

The fourth proportional to 469.56, 704.19 and 144.82 is: 217.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.56 : 704.19 = 144.82 : x
  2. Step 2: Convert to fraction form
    469.56/704.19 = 144.82/x
  3. Step 3: Cross multiply
    469.56x = 704.19 × 144.82
  4. Step 4: Simplify right side
    469.56x = 101,980.80
  5. Step 5: Solve for x
    x = 101,980.80/469.56
  6. Step 6: Final answer
    x = 217.18

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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.