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Finding the Fourth Proportional to 473.30, 709.92 and 213.32

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Solution

The fourth proportional to 473.30, 709.92 and 213.32 is: 319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.30 : 709.92 = 213.32 : x
  2. Step 2: Convert to fraction form
    473.30/709.92 = 213.32/x
  3. Step 3: Cross multiply
    473.30x = 709.92 × 213.32
  4. Step 4: Simplify right side
    473.30x = 151,440.13
  5. Step 5: Solve for x
    x = 151,440.13/473.30
  6. Step 6: Final answer
    x = 319.97

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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.