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Finding the Fourth Proportional to 304.56, 456.30 and 282.96

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Solution

The fourth proportional to 304.56, 456.30 and 282.96 is: 423.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.56 : 456.30 = 282.96 : x
  2. Step 2: Convert to fraction form
    304.56/456.30 = 282.96/x
  3. Step 3: Cross multiply
    304.56x = 456.30 × 282.96
  4. Step 4: Simplify right side
    304.56x = 129,114.65
  5. Step 5: Solve for x
    x = 129,114.65/304.56
  6. Step 6: Final answer
    x = 423.94

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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.