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Finding the Fourth Proportional to 272.21, 406.50 and 258.17

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Solution

The fourth proportional to 272.21, 406.50 and 258.17 is: 385.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.21 : 406.50 = 258.17 : x
  2. Step 2: Convert to fraction form
    272.21/406.50 = 258.17/x
  3. Step 3: Cross multiply
    272.21x = 406.50 × 258.17
  4. Step 4: Simplify right side
    272.21x = 104,943.10
  5. Step 5: Solve for x
    x = 104,943.10/272.21
  6. Step 6: Final answer
    x = 385.53

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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.