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Finding the Fourth Proportional to 283.95, 426.51 and 233.31

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Solution

The fourth proportional to 283.95, 426.51 and 233.31 is: 350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.95 : 426.51 = 233.31 : x
  2. Step 2: Convert to fraction form
    283.95/426.51 = 233.31/x
  3. Step 3: Cross multiply
    283.95x = 426.51 × 233.31
  4. Step 4: Simplify right side
    283.95x = 99,509.05
  5. Step 5: Solve for x
    x = 99,509.05/283.95
  6. Step 6: Final answer
    x = 350.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.