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Finding the Fourth Proportional to 290.53, 435.18 and 241.66

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Solution

The fourth proportional to 290.53, 435.18 and 241.66 is: 361.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.53 : 435.18 = 241.66 : x
  2. Step 2: Convert to fraction form
    290.53/435.18 = 241.66/x
  3. Step 3: Cross multiply
    290.53x = 435.18 × 241.66
  4. Step 4: Simplify right side
    290.53x = 105,164.51
  5. Step 5: Solve for x
    x = 105,164.51/290.53
  6. Step 6: Final answer
    x = 361.98

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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.