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Finding the Fourth Proportional to 474.43, 711.65 and 214.52

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Solution

The fourth proportional to 474.43, 711.65 and 214.52 is: 321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.43 : 711.65 = 214.52 : x
  2. Step 2: Convert to fraction form
    474.43/711.65 = 214.52/x
  3. Step 3: Cross multiply
    474.43x = 711.65 × 214.52
  4. Step 4: Simplify right side
    474.43x = 152,664.67
  5. Step 5: Solve for x
    x = 152,664.67/474.43
  6. Step 6: Final answer
    x = 321.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.