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Finding the Fourth Proportional to 290.58, 433.86 and 261.43

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Solution

The fourth proportional to 290.58, 433.86 and 261.43 is: 390.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.58 : 433.86 = 261.43 : x
  2. Step 2: Convert to fraction form
    290.58/433.86 = 261.43/x
  3. Step 3: Cross multiply
    290.58x = 433.86 × 261.43
  4. Step 4: Simplify right side
    290.58x = 113,420.54
  5. Step 5: Solve for x
    x = 113,420.54/290.58
  6. Step 6: Final answer
    x = 390.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.