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Finding the Fourth Proportional to 604.07, 905.53 and 233.60

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Solution

The fourth proportional to 604.07, 905.53 and 233.60 is: 350.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.07 : 905.53 = 233.60 : x
  2. Step 2: Convert to fraction form
    604.07/905.53 = 233.60/x
  3. Step 3: Cross multiply
    604.07x = 905.53 × 233.60
  4. Step 4: Simplify right side
    604.07x = 211,531.81
  5. Step 5: Solve for x
    x = 211,531.81/604.07
  6. Step 6: Final answer
    x = 350.18

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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.