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Finding the Fourth Proportional to 304.23, 456.57 and 201.48

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Solution

The fourth proportional to 304.23, 456.57 and 201.48 is: 302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.23 : 456.57 = 201.48 : x
  2. Step 2: Convert to fraction form
    304.23/456.57 = 201.48/x
  3. Step 3: Cross multiply
    304.23x = 456.57 × 201.48
  4. Step 4: Simplify right side
    304.23x = 91,989.72
  5. Step 5: Solve for x
    x = 91,989.72/304.23
  6. Step 6: Final answer
    x = 302.37

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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.