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Finding the Fourth Proportional to 283.59, 423.12 and 252.81

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Solution

The fourth proportional to 283.59, 423.12 and 252.81 is: 377.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.59 : 423.12 = 252.81 : x
  2. Step 2: Convert to fraction form
    283.59/423.12 = 252.81/x
  3. Step 3: Cross multiply
    283.59x = 423.12 × 252.81
  4. Step 4: Simplify right side
    283.59x = 106,968.97
  5. Step 5: Solve for x
    x = 106,968.97/283.59
  6. Step 6: Final answer
    x = 377.20

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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.