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Finding the Fourth Proportional to 283.41, 423.38 and 237.27

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Solution

The fourth proportional to 283.41, 423.38 and 237.27 is: 354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.41 : 423.38 = 237.27 : x
  2. Step 2: Convert to fraction form
    283.41/423.38 = 237.27/x
  3. Step 3: Cross multiply
    283.41x = 423.38 × 237.27
  4. Step 4: Simplify right side
    283.41x = 100,454.19
  5. Step 5: Solve for x
    x = 100,454.19/283.41
  6. Step 6: Final answer
    x = 354.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.