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Finding the Fourth Proportional to 298.69, 411.63 and 215.65

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Solution

The fourth proportional to 298.69, 411.63 and 215.65 is: 297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.69 : 411.63 = 215.65 : x
  2. Step 2: Convert to fraction form
    298.69/411.63 = 215.65/x
  3. Step 3: Cross multiply
    298.69x = 411.63 × 215.65
  4. Step 4: Simplify right side
    298.69x = 88,768.01
  5. Step 5: Solve for x
    x = 88,768.01/298.69
  6. Step 6: Final answer
    x = 297.19

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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.