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Finding the Fourth Proportional to 271.83, 405.75 and 259.99

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Solution

The fourth proportional to 271.83, 405.75 and 259.99 is: 388.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.83 : 405.75 = 259.99 : x
  2. Step 2: Convert to fraction form
    271.83/405.75 = 259.99/x
  3. Step 3: Cross multiply
    271.83x = 405.75 × 259.99
  4. Step 4: Simplify right side
    271.83x = 105,490.94
  5. Step 5: Solve for x
    x = 105,490.94/271.83
  6. Step 6: Final answer
    x = 388.08

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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.