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Finding the Fourth Proportional to 380.19, 524.97 and 310.26

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Solution

The fourth proportional to 380.19, 524.97 and 310.26 is: 428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.19 : 524.97 = 310.26 : x
  2. Step 2: Convert to fraction form
    380.19/524.97 = 310.26/x
  3. Step 3: Cross multiply
    380.19x = 524.97 × 310.26
  4. Step 4: Simplify right side
    380.19x = 162,877.19
  5. Step 5: Solve for x
    x = 162,877.19/380.19
  6. Step 6: Final answer
    x = 428.41

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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.