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Finding the Fourth Proportional to 262.24, 360.60 and 233.08

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Solution

The fourth proportional to 262.24, 360.60 and 233.08 is: 320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.24 : 360.60 = 233.08 : x
  2. Step 2: Convert to fraction form
    262.24/360.60 = 233.08/x
  3. Step 3: Cross multiply
    262.24x = 360.60 × 233.08
  4. Step 4: Simplify right side
    262.24x = 84,048.65
  5. Step 5: Solve for x
    x = 84,048.65/262.24
  6. Step 6: Final answer
    x = 320.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.