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Finding the Fourth Proportional to 291.80, 437.56 and 219.51

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Solution

The fourth proportional to 291.80, 437.56 and 219.51 is: 329.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.80 : 437.56 = 219.51 : x
  2. Step 2: Convert to fraction form
    291.80/437.56 = 219.51/x
  3. Step 3: Cross multiply
    291.80x = 437.56 × 219.51
  4. Step 4: Simplify right side
    291.80x = 96,048.25
  5. Step 5: Solve for x
    x = 96,048.25/291.80
  6. Step 6: Final answer
    x = 329.15

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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.