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Finding the Fourth Proportional to 379.96, 570.24 and 264.36

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Solution

The fourth proportional to 379.96, 570.24 and 264.36 is: 396.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.96 : 570.24 = 264.36 : x
  2. Step 2: Convert to fraction form
    379.96/570.24 = 264.36/x
  3. Step 3: Cross multiply
    379.96x = 570.24 × 264.36
  4. Step 4: Simplify right side
    379.96x = 150,748.65
  5. Step 5: Solve for x
    x = 150,748.65/379.96
  6. Step 6: Final answer
    x = 396.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.