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Finding the Fourth Proportional to 272.78, 406.41 and 259.01

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Solution

The fourth proportional to 272.78, 406.41 and 259.01 is: 385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.78 : 406.41 = 259.01 : x
  2. Step 2: Convert to fraction form
    272.78/406.41 = 259.01/x
  3. Step 3: Cross multiply
    272.78x = 406.41 × 259.01
  4. Step 4: Simplify right side
    272.78x = 105,264.25
  5. Step 5: Solve for x
    x = 105,264.25/272.78
  6. Step 6: Final answer
    x = 385.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.