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Finding the Fourth Proportional to 288.92, 399.50 and 284.28

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Solution

The fourth proportional to 288.92, 399.50 and 284.28 is: 393.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.92 : 399.50 = 284.28 : x
  2. Step 2: Convert to fraction form
    288.92/399.50 = 284.28/x
  3. Step 3: Cross multiply
    288.92x = 399.50 × 284.28
  4. Step 4: Simplify right side
    288.92x = 113,569.86
  5. Step 5: Solve for x
    x = 113,569.86/288.92
  6. Step 6: Final answer
    x = 393.08

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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.