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Finding the Fourth Proportional to 473.09, 709.85 and 212.94

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Solution

The fourth proportional to 473.09, 709.85 and 212.94 is: 319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.09 : 709.85 = 212.94 : x
  2. Step 2: Convert to fraction form
    473.09/709.85 = 212.94/x
  3. Step 3: Cross multiply
    473.09x = 709.85 × 212.94
  4. Step 4: Simplify right side
    473.09x = 151,157.06
  5. Step 5: Solve for x
    x = 151,157.06/473.09
  6. Step 6: Final answer
    x = 319.51

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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.