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Finding the Fourth Proportional to 290.25, 434.16 and 240.75

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Solution

The fourth proportional to 290.25, 434.16 and 240.75 is: 360.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.25 : 434.16 = 240.75 : x
  2. Step 2: Convert to fraction form
    290.25/434.16 = 240.75/x
  3. Step 3: Cross multiply
    290.25x = 434.16 × 240.75
  4. Step 4: Simplify right side
    290.25x = 104,524.02
  5. Step 5: Solve for x
    x = 104,524.02/290.25
  6. Step 6: Final answer
    x = 360.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.