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Finding the Fourth Proportional to 299.58, 412.53 and 282.26

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Solution

The fourth proportional to 299.58, 412.53 and 282.26 is: 388.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.58 : 412.53 = 282.26 : x
  2. Step 2: Convert to fraction form
    299.58/412.53 = 282.26/x
  3. Step 3: Cross multiply
    299.58x = 412.53 × 282.26
  4. Step 4: Simplify right side
    299.58x = 116,440.72
  5. Step 5: Solve for x
    x = 116,440.72/299.58
  6. Step 6: Final answer
    x = 388.68

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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.