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Finding the Fourth Proportional to 378.63, 522.72 and 272.93

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Solution

The fourth proportional to 378.63, 522.72 and 272.93 is: 376.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.63 : 522.72 = 272.93 : x
  2. Step 2: Convert to fraction form
    378.63/522.72 = 272.93/x
  3. Step 3: Cross multiply
    378.63x = 522.72 × 272.93
  4. Step 4: Simplify right side
    378.63x = 142,663.36
  5. Step 5: Solve for x
    x = 142,663.36/378.63
  6. Step 6: Final answer
    x = 376.79

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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.