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Finding the Fourth Proportional to 379.85, 524.24 and 275.28

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Solution

The fourth proportional to 379.85, 524.24 and 275.28 is: 379.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.85 : 524.24 = 275.28 : x
  2. Step 2: Convert to fraction form
    379.85/524.24 = 275.28/x
  3. Step 3: Cross multiply
    379.85x = 524.24 × 275.28
  4. Step 4: Simplify right side
    379.85x = 144,311.41
  5. Step 5: Solve for x
    x = 144,311.41/379.85
  6. Step 6: Final answer
    x = 379.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.