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Finding the Fourth Proportional to 474.44, 711.05 and 214.07

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Solution

The fourth proportional to 474.44, 711.05 and 214.07 is: 320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.44 : 711.05 = 214.07 : x
  2. Step 2: Convert to fraction form
    474.44/711.05 = 214.07/x
  3. Step 3: Cross multiply
    474.44x = 711.05 × 214.07
  4. Step 4: Simplify right side
    474.44x = 152,209.85
  5. Step 5: Solve for x
    x = 152,209.85/474.44
  6. Step 6: Final answer
    x = 320.82

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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.