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Finding the Fourth Proportional to 402.33, 603.48 and 239.66

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Solution

The fourth proportional to 402.33, 603.48 and 239.66 is: 359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.33 : 603.48 = 239.66 : x
  2. Step 2: Convert to fraction form
    402.33/603.48 = 239.66/x
  3. Step 3: Cross multiply
    402.33x = 603.48 × 239.66
  4. Step 4: Simplify right side
    402.33x = 144,627.00
  5. Step 5: Solve for x
    x = 144,627.00/402.33
  6. Step 6: Final answer
    x = 359.47

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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.