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Finding the Fourth Proportional to 603.86, 906.24 and 238.90

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Solution

The fourth proportional to 603.86, 906.24 and 238.90 is: 358.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.86 : 906.24 = 238.90 : x
  2. Step 2: Convert to fraction form
    603.86/906.24 = 238.90/x
  3. Step 3: Cross multiply
    603.86x = 906.24 × 238.90
  4. Step 4: Simplify right side
    603.86x = 216,499.72
  5. Step 5: Solve for x
    x = 216,499.72/603.86
  6. Step 6: Final answer
    x = 358.53

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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.