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Finding the Fourth Proportional to 283.56, 423.26 and 263.04

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Solution

The fourth proportional to 283.56, 423.26 and 263.04 is: 392.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.56 : 423.26 = 263.04 : x
  2. Step 2: Convert to fraction form
    283.56/423.26 = 263.04/x
  3. Step 3: Cross multiply
    283.56x = 423.26 × 263.04
  4. Step 4: Simplify right side
    283.56x = 111,333.00
  5. Step 5: Solve for x
    x = 111,333.00/283.56
  6. Step 6: Final answer
    x = 392.63

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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.