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Finding the Fourth Proportional to 603.76, 905.70 and 238.34

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Solution

The fourth proportional to 603.76, 905.70 and 238.34 is: 357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.76 : 905.70 = 238.34 : x
  2. Step 2: Convert to fraction form
    603.76/905.70 = 238.34/x
  3. Step 3: Cross multiply
    603.76x = 905.70 × 238.34
  4. Step 4: Simplify right side
    603.76x = 215,864.54
  5. Step 5: Solve for x
    x = 215,864.54/603.76
  6. Step 6: Final answer
    x = 357.53

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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.