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Finding the Fourth Proportional to 469.52, 704.36 and 144.84

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Solution

The fourth proportional to 469.52, 704.36 and 144.84 is: 217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.52 : 704.36 = 144.84 : x
  2. Step 2: Convert to fraction form
    469.52/704.36 = 144.84/x
  3. Step 3: Cross multiply
    469.52x = 704.36 × 144.84
  4. Step 4: Simplify right side
    469.52x = 102,019.50
  5. Step 5: Solve for x
    x = 102,019.50/469.52
  6. Step 6: Final answer
    x = 217.28

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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.