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Finding the Fourth Proportional to 469.68, 704.64 and 213.36

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Solution

The fourth proportional to 469.68, 704.64 and 213.36 is: 320.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.68 : 704.64 = 213.36 : x
  2. Step 2: Convert to fraction form
    469.68/704.64 = 213.36/x
  3. Step 3: Cross multiply
    469.68x = 704.64 × 213.36
  4. Step 4: Simplify right side
    469.68x = 150,341.99
  5. Step 5: Solve for x
    x = 150,341.99/469.68
  6. Step 6: Final answer
    x = 320.09

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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.