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Finding the Fourth Proportional to 301.59, 416.75 and 290.25

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Solution

The fourth proportional to 301.59, 416.75 and 290.25 is: 401.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.59 : 416.75 = 290.25 : x
  2. Step 2: Convert to fraction form
    301.59/416.75 = 290.25/x
  3. Step 3: Cross multiply
    301.59x = 416.75 × 290.25
  4. Step 4: Simplify right side
    301.59x = 120,960.24
  5. Step 5: Solve for x
    x = 120,960.24/301.59
  6. Step 6: Final answer
    x = 401.08

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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.