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Finding the Fourth Proportional to 290.64, 401.52 and 266.07

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Solution

The fourth proportional to 290.64, 401.52 and 266.07 is: 367.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.64 : 401.52 = 266.07 : x
  2. Step 2: Convert to fraction form
    290.64/401.52 = 266.07/x
  3. Step 3: Cross multiply
    290.64x = 401.52 × 266.07
  4. Step 4: Simplify right side
    290.64x = 106,832.43
  5. Step 5: Solve for x
    x = 106,832.43/290.64
  6. Step 6: Final answer
    x = 367.58

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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.