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Finding the Fourth Proportional to 283.46, 423.36 and 242.46

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Solution

The fourth proportional to 283.46, 423.36 and 242.46 is: 362.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.46 : 423.36 = 242.46 : x
  2. Step 2: Convert to fraction form
    283.46/423.36 = 242.46/x
  3. Step 3: Cross multiply
    283.46x = 423.36 × 242.46
  4. Step 4: Simplify right side
    283.46x = 102,647.87
  5. Step 5: Solve for x
    x = 102,647.87/283.46
  6. Step 6: Final answer
    x = 362.13

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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.