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Finding the Fourth Proportional to 473.34, 709.40 and 213.33

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Solution

The fourth proportional to 473.34, 709.40 and 213.33 is: 319.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.34 : 709.40 = 213.33 : x
  2. Step 2: Convert to fraction form
    473.34/709.40 = 213.33/x
  3. Step 3: Cross multiply
    473.34x = 709.40 × 213.33
  4. Step 4: Simplify right side
    473.34x = 151,336.30
  5. Step 5: Solve for x
    x = 151,336.30/473.34
  6. Step 6: Final answer
    x = 319.72

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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.