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Finding the Fourth Proportional to 603.05, 904.56 and 212.96

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Solution

The fourth proportional to 603.05, 904.56 and 212.96 is: 319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.05 : 904.56 = 212.96 : x
  2. Step 2: Convert to fraction form
    603.05/904.56 = 212.96/x
  3. Step 3: Cross multiply
    603.05x = 904.56 × 212.96
  4. Step 4: Simplify right side
    603.05x = 192,630.57
  5. Step 5: Solve for x
    x = 192,630.57/603.05
  6. Step 6: Final answer
    x = 319.43

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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.