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Finding the Fourth Proportional to 603.05, 904.68 and 213.11

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Solution

The fourth proportional to 603.05, 904.68 and 213.11 is: 319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.05 : 904.68 = 213.11 : x
  2. Step 2: Convert to fraction form
    603.05/904.68 = 213.11/x
  3. Step 3: Cross multiply
    603.05x = 904.68 × 213.11
  4. Step 4: Simplify right side
    603.05x = 192,790.77
  5. Step 5: Solve for x
    x = 192,790.77/603.05
  6. Step 6: Final answer
    x = 319.69

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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.