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Finding the Fourth Proportional to 975.42, 1,462.91 and 282.09

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Solution

The fourth proportional to 975.42, 1,462.91 and 282.09 is: 423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.42 : 1,462.91 = 282.09 : x
  2. Step 2: Convert to fraction form
    975.42/1,462.91 = 282.09/x
  3. Step 3: Cross multiply
    975.42x = 1,462.91 × 282.09
  4. Step 4: Simplify right side
    975.42x = 412,664.97
  5. Step 5: Solve for x
    x = 412,664.97/975.42
  6. Step 6: Final answer
    x = 423.06

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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.