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Finding the Fourth Proportional to 258.54, 386.00 and 254.22

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Solution

The fourth proportional to 258.54, 386.00 and 254.22 is: 379.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.54 : 386.00 = 254.22 : x
  2. Step 2: Convert to fraction form
    258.54/386.00 = 254.22/x
  3. Step 3: Cross multiply
    258.54x = 386.00 × 254.22
  4. Step 4: Simplify right side
    258.54x = 98,127.65
  5. Step 5: Solve for x
    x = 98,127.65/258.54
  6. Step 6: Final answer
    x = 379.55

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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.