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Finding the Fourth Proportional to 277.71, 383.64 and 263.13

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Solution

The fourth proportional to 277.71, 383.64 and 263.13 is: 363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.71 : 383.64 = 263.13 : x
  2. Step 2: Convert to fraction form
    277.71/383.64 = 263.13/x
  3. Step 3: Cross multiply
    277.71x = 383.64 × 263.13
  4. Step 4: Simplify right side
    277.71x = 100,947.19
  5. Step 5: Solve for x
    x = 100,947.19/277.71
  6. Step 6: Final answer
    x = 363.50

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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.