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Finding the Fourth Proportional to 379.35, 569.66 and 256.74

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Solution

The fourth proportional to 379.35, 569.66 and 256.74 is: 385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.35 : 569.66 = 256.74 : x
  2. Step 2: Convert to fraction form
    379.35/569.66 = 256.74/x
  3. Step 3: Cross multiply
    379.35x = 569.66 × 256.74
  4. Step 4: Simplify right side
    379.35x = 146,253.22
  5. Step 5: Solve for x
    x = 146,253.22/379.35
  6. Step 6: Final answer
    x = 385.54

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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.