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Finding the Fourth Proportional to 603.75, 905.86 and 238.64

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Solution

The fourth proportional to 603.75, 905.86 and 238.64 is: 358.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.75 : 905.86 = 238.64 : x
  2. Step 2: Convert to fraction form
    603.75/905.86 = 238.64/x
  3. Step 3: Cross multiply
    603.75x = 905.86 × 238.64
  4. Step 4: Simplify right side
    603.75x = 216,174.43
  5. Step 5: Solve for x
    x = 216,174.43/603.75
  6. Step 6: Final answer
    x = 358.05

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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.