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Finding the Fourth Proportional to 290.41, 438.20 and 279.16

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Solution

The fourth proportional to 290.41, 438.20 and 279.16 is: 421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.41 : 438.20 = 279.16 : x
  2. Step 2: Convert to fraction form
    290.41/438.20 = 279.16/x
  3. Step 3: Cross multiply
    290.41x = 438.20 × 279.16
  4. Step 4: Simplify right side
    290.41x = 122,327.91
  5. Step 5: Solve for x
    x = 122,327.91/290.41
  6. Step 6: Final answer
    x = 421.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.