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Finding the Fourth Proportional to 368.86, 508.62 and 274.36

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Solution

The fourth proportional to 368.86, 508.62 and 274.36 is: 378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.86 : 508.62 = 274.36 : x
  2. Step 2: Convert to fraction form
    368.86/508.62 = 274.36/x
  3. Step 3: Cross multiply
    368.86x = 508.62 × 274.36
  4. Step 4: Simplify right side
    368.86x = 139,544.98
  5. Step 5: Solve for x
    x = 139,544.98/368.86
  6. Step 6: Final answer
    x = 378.31

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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.