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Finding the Fourth Proportional to 379.76, 569.54 and 184.64

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Solution

The fourth proportional to 379.76, 569.54 and 184.64 is: 276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.76 : 569.54 = 184.64 : x
  2. Step 2: Convert to fraction form
    379.76/569.54 = 184.64/x
  3. Step 3: Cross multiply
    379.76x = 569.54 × 184.64
  4. Step 4: Simplify right side
    379.76x = 105,157.48
  5. Step 5: Solve for x
    x = 105,157.48/379.76
  6. Step 6: Final answer
    x = 276.91

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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.