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Finding the Fourth Proportional to 288.54, 395.34 and 284.94

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Solution

The fourth proportional to 288.54, 395.34 and 284.94 is: 390.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.54 : 395.34 = 284.94 : x
  2. Step 2: Convert to fraction form
    288.54/395.34 = 284.94/x
  3. Step 3: Cross multiply
    288.54x = 395.34 × 284.94
  4. Step 4: Simplify right side
    288.54x = 112,648.18
  5. Step 5: Solve for x
    x = 112,648.18/288.54
  6. Step 6: Final answer
    x = 390.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.