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Finding the Fourth Proportional to 386.19, 533.28 and 262.26

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Solution

The fourth proportional to 386.19, 533.28 and 262.26 is: 362.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.19 : 533.28 = 262.26 : x
  2. Step 2: Convert to fraction form
    386.19/533.28 = 262.26/x
  3. Step 3: Cross multiply
    386.19x = 533.28 × 262.26
  4. Step 4: Simplify right side
    386.19x = 139,858.01
  5. Step 5: Solve for x
    x = 139,858.01/386.19
  6. Step 6: Final answer
    x = 362.15

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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.