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Finding the Fourth Proportional to 379.67, 569.89 and 256.26

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Solution

The fourth proportional to 379.67, 569.89 and 256.26 is: 384.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.67 : 569.89 = 256.26 : x
  2. Step 2: Convert to fraction form
    379.67/569.89 = 256.26/x
  3. Step 3: Cross multiply
    379.67x = 569.89 × 256.26
  4. Step 4: Simplify right side
    379.67x = 146,040.01
  5. Step 5: Solve for x
    x = 146,040.01/379.67
  6. Step 6: Final answer
    x = 384.65

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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.