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Finding the Fourth Proportional to 414, 570.24 and 289.44

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Solution

The fourth proportional to 414, 570.24 and 289.44 is: 398.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    414 : 570.24 = 289.44 : x
  2. Step 2: Convert to fraction form
    414/570.24 = 289.44/x
  3. Step 3: Cross multiply
    414x = 570.24 × 289.44
  4. Step 4: Simplify right side
    414x = 165,050.27
  5. Step 5: Solve for x
    x = 165,050.27/414
  6. Step 6: Final answer
    x = 398.67

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Why These Related Problems?

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