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Finding the Fourth Proportional to 469.52, 704.36 and 213

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Solution

The fourth proportional to 469.52, 704.36 and 213 is: 319.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.52 : 704.36 = 213 : x
  2. Step 2: Convert to fraction form
    469.52/704.36 = 213/x
  3. Step 3: Cross multiply
    469.52x = 704.36 × 213
  4. Step 4: Simplify right side
    469.52x = 150,028.68
  5. Step 5: Solve for x
    x = 150,028.68/469.52
  6. Step 6: Final answer
    x = 319.54

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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.