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Finding the Fourth Proportional to 290.54, 398.08 and 286.94

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Solution

The fourth proportional to 290.54, 398.08 and 286.94 is: 393.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.54 : 398.08 = 286.94 : x
  2. Step 2: Convert to fraction form
    290.54/398.08 = 286.94/x
  3. Step 3: Cross multiply
    290.54x = 398.08 × 286.94
  4. Step 4: Simplify right side
    290.54x = 114,225.08
  5. Step 5: Solve for x
    x = 114,225.08/290.54
  6. Step 6: Final answer
    x = 393.15

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.