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Finding the Fourth Proportional to 283.06, 421.73 and 266.50

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Solution

The fourth proportional to 283.06, 421.73 and 266.50 is: 397.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.06 : 421.73 = 266.50 : x
  2. Step 2: Convert to fraction form
    283.06/421.73 = 266.50/x
  3. Step 3: Cross multiply
    283.06x = 421.73 × 266.50
  4. Step 4: Simplify right side
    283.06x = 112,391.05
  5. Step 5: Solve for x
    x = 112,391.05/283.06
  6. Step 6: Final answer
    x = 397.06

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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.