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Finding the Fourth Proportional to 379.64, 569.57 and 264.03

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Solution

The fourth proportional to 379.64, 569.57 and 264.03 is: 396.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.64 : 569.57 = 264.03 : x
  2. Step 2: Convert to fraction form
    379.64/569.57 = 264.03/x
  3. Step 3: Cross multiply
    379.64x = 569.57 × 264.03
  4. Step 4: Simplify right side
    379.64x = 150,382.25
  5. Step 5: Solve for x
    x = 150,382.25/379.64
  6. Step 6: Final answer
    x = 396.12

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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.