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Finding the Fourth Proportional to 282.31, 423.24 and 259.53

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Solution

The fourth proportional to 282.31, 423.24 and 259.53 is: 389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.31 : 423.24 = 259.53 : x
  2. Step 2: Convert to fraction form
    282.31/423.24 = 259.53/x
  3. Step 3: Cross multiply
    282.31x = 423.24 × 259.53
  4. Step 4: Simplify right side
    282.31x = 109,843.48
  5. Step 5: Solve for x
    x = 109,843.48/282.31
  6. Step 6: Final answer
    x = 389.09

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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.