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Finding the Fourth Proportional to 290.84, 437.90 and 219.32

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Solution

The fourth proportional to 290.84, 437.90 and 219.32 is: 330.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.84 : 437.90 = 219.32 : x
  2. Step 2: Convert to fraction form
    290.84/437.90 = 219.32/x
  3. Step 3: Cross multiply
    290.84x = 437.90 × 219.32
  4. Step 4: Simplify right side
    290.84x = 96,040.23
  5. Step 5: Solve for x
    x = 96,040.23/290.84
  6. Step 6: Final answer
    x = 330.22

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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.