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Finding the Fourth Proportional to 380.09, 524.53 and 275.23

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Solution

The fourth proportional to 380.09, 524.53 and 275.23 is: 379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.09 : 524.53 = 275.23 : x
  2. Step 2: Convert to fraction form
    380.09/524.53 = 275.23/x
  3. Step 3: Cross multiply
    380.09x = 524.53 × 275.23
  4. Step 4: Simplify right side
    380.09x = 144,366.39
  5. Step 5: Solve for x
    x = 144,366.39/380.09
  6. Step 6: Final answer
    x = 379.82

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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.