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Finding the Fourth Proportional to 290.21, 435.19 and 84.77

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Solution

The fourth proportional to 290.21, 435.19 and 84.77 is: 127.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.21 : 435.19 = 84.77 : x
  2. Step 2: Convert to fraction form
    290.21/435.19 = 84.77/x
  3. Step 3: Cross multiply
    290.21x = 435.19 × 84.77
  4. Step 4: Simplify right side
    290.21x = 36,891.06
  5. Step 5: Solve for x
    x = 36,891.06/290.21
  6. Step 6: Final answer
    x = 127.12

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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.