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Finding the Fourth Proportional to 603.13, 904.81 and 213.11

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Solution

The fourth proportional to 603.13, 904.81 and 213.11 is: 319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.13 : 904.81 = 213.11 : x
  2. Step 2: Convert to fraction form
    603.13/904.81 = 213.11/x
  3. Step 3: Cross multiply
    603.13x = 904.81 × 213.11
  4. Step 4: Simplify right side
    603.13x = 192,824.06
  5. Step 5: Solve for x
    x = 192,824.06/603.13
  6. Step 6: Final answer
    x = 319.71

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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.