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Finding the Fourth Proportional to 288.24, 399.30 and 282.48

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Solution

The fourth proportional to 288.24, 399.30 and 282.48 is: 391.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.24 : 399.30 = 282.48 : x
  2. Step 2: Convert to fraction form
    288.24/399.30 = 282.48/x
  3. Step 3: Cross multiply
    288.24x = 399.30 × 282.48
  4. Step 4: Simplify right side
    288.24x = 112,794.26
  5. Step 5: Solve for x
    x = 112,794.26/288.24
  6. Step 6: Final answer
    x = 391.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.