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Finding the Fourth Proportional to 283.59, 423.16 and 238.03

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Solution

The fourth proportional to 283.59, 423.16 and 238.03 is: 355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.59 : 423.16 = 238.03 : x
  2. Step 2: Convert to fraction form
    283.59/423.16 = 238.03/x
  3. Step 3: Cross multiply
    283.59x = 423.16 × 238.03
  4. Step 4: Simplify right side
    283.59x = 100,723.12
  5. Step 5: Solve for x
    x = 100,723.12/283.59
  6. Step 6: Final answer
    x = 355.17

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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.