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Finding the Fourth Proportional to 288.62, 430.83 and 252.17

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Solution

The fourth proportional to 288.62, 430.83 and 252.17 is: 376.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.62 : 430.83 = 252.17 : x
  2. Step 2: Convert to fraction form
    288.62/430.83 = 252.17/x
  3. Step 3: Cross multiply
    288.62x = 430.83 × 252.17
  4. Step 4: Simplify right side
    288.62x = 108,643.95
  5. Step 5: Solve for x
    x = 108,643.95/288.62
  6. Step 6: Final answer
    x = 376.42

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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.