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Finding the Fourth Proportional to 382.44, 524.63 and 372.30

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Solution

The fourth proportional to 382.44, 524.63 and 372.30 is: 510.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.44 : 524.63 = 372.30 : x
  2. Step 2: Convert to fraction form
    382.44/524.63 = 372.30/x
  3. Step 3: Cross multiply
    382.44x = 524.63 × 372.30
  4. Step 4: Simplify right side
    382.44x = 195,317.89
  5. Step 5: Solve for x
    x = 195,317.89/382.44
  6. Step 6: Final answer
    x = 510.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.