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Finding the Fourth Proportional to 469.48, 704.76 and 213.52

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Solution

The fourth proportional to 469.48, 704.76 and 213.52 is: 320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.48 : 704.76 = 213.52 : x
  2. Step 2: Convert to fraction form
    469.48/704.76 = 213.52/x
  3. Step 3: Cross multiply
    469.48x = 704.76 × 213.52
  4. Step 4: Simplify right side
    469.48x = 150,480.36
  5. Step 5: Solve for x
    x = 150,480.36/469.48
  6. Step 6: Final answer
    x = 320.53

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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.