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Finding the Fourth Proportional to 389.58, 580.53 and 378.44

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Solution

The fourth proportional to 389.58, 580.53 and 378.44 is: 563.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.58 : 580.53 = 378.44 : x
  2. Step 2: Convert to fraction form
    389.58/580.53 = 378.44/x
  3. Step 3: Cross multiply
    389.58x = 580.53 × 378.44
  4. Step 4: Simplify right side
    389.58x = 219,696.47
  5. Step 5: Solve for x
    x = 219,696.47/389.58
  6. Step 6: Final answer
    x = 563.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.