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Finding the Fourth Proportional to 344.25, 475.25 and 282.24

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Solution

The fourth proportional to 344.25, 475.25 and 282.24 is: 389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.25 : 475.25 = 282.24 : x
  2. Step 2: Convert to fraction form
    344.25/475.25 = 282.24/x
  3. Step 3: Cross multiply
    344.25x = 475.25 × 282.24
  4. Step 4: Simplify right side
    344.25x = 134,133.15
  5. Step 5: Solve for x
    x = 134,133.15/344.25
  6. Step 6: Final answer
    x = 389.64

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Why These Related Problems?

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