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Finding the Fourth Proportional to 304.46, 456.31 and 174.57

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Solution

The fourth proportional to 304.46, 456.31 and 174.57 is: 261.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.46 : 456.31 = 174.57 : x
  2. Step 2: Convert to fraction form
    304.46/456.31 = 174.57/x
  3. Step 3: Cross multiply
    304.46x = 456.31 × 174.57
  4. Step 4: Simplify right side
    304.46x = 79,657.16
  5. Step 5: Solve for x
    x = 79,657.16/304.46
  6. Step 6: Final answer
    x = 261.63

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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.