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Finding the Fourth Proportional to 291.56, 438.20 and 270.08

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Solution

The fourth proportional to 291.56, 438.20 and 270.08 is: 405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.56 : 438.20 = 270.08 : x
  2. Step 2: Convert to fraction form
    291.56/438.20 = 270.08/x
  3. Step 3: Cross multiply
    291.56x = 438.20 × 270.08
  4. Step 4: Simplify right side
    291.56x = 118,348.27
  5. Step 5: Solve for x
    x = 118,348.27/291.56
  6. Step 6: Final answer
    x = 405.91

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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.