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Finding the Fourth Proportional to 388.94, 536.42 and 257.99

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Solution

The fourth proportional to 388.94, 536.42 and 257.99 is: 355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.94 : 536.42 = 257.99 : x
  2. Step 2: Convert to fraction form
    388.94/536.42 = 257.99/x
  3. Step 3: Cross multiply
    388.94x = 536.42 × 257.99
  4. Step 4: Simplify right side
    388.94x = 138,388.96
  5. Step 5: Solve for x
    x = 138,388.96/388.94
  6. Step 6: Final answer
    x = 355.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.