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Finding the Fourth Proportional to 740.21, 1,108.94 and 277.70

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Solution

The fourth proportional to 740.21, 1,108.94 and 277.70 is: 416.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.21 : 1,108.94 = 277.70 : x
  2. Step 2: Convert to fraction form
    740.21/1,108.94 = 277.70/x
  3. Step 3: Cross multiply
    740.21x = 1,108.94 × 277.70
  4. Step 4: Simplify right side
    740.21x = 307,945.70
  5. Step 5: Solve for x
    x = 307,945.70/740.21
  6. Step 6: Final answer
    x = 416.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.