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Finding the Fourth Proportional to 296.67, 446.01 and 239.60

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Solution

The fourth proportional to 296.67, 446.01 and 239.60 is: 360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.67 : 446.01 = 239.60 : x
  2. Step 2: Convert to fraction form
    296.67/446.01 = 239.60/x
  3. Step 3: Cross multiply
    296.67x = 446.01 × 239.60
  4. Step 4: Simplify right side
    296.67x = 106,864.00
  5. Step 5: Solve for x
    x = 106,864.00/296.67
  6. Step 6: Final answer
    x = 360.21

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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.