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Finding the Fourth Proportional to 473.03, 709.68 and 213.20

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Solution

The fourth proportional to 473.03, 709.68 and 213.20 is: 319.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.03 : 709.68 = 213.20 : x
  2. Step 2: Convert to fraction form
    473.03/709.68 = 213.20/x
  3. Step 3: Cross multiply
    473.03x = 709.68 × 213.20
  4. Step 4: Simplify right side
    473.03x = 151,300.23
  5. Step 5: Solve for x
    x = 151,300.23/473.03
  6. Step 6: Final answer
    x = 319.86

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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.