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Finding the Fourth Proportional to 456.06, 682.33 and 319.34

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Solution

The fourth proportional to 456.06, 682.33 and 319.34 is: 477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.06 : 682.33 = 319.34 : x
  2. Step 2: Convert to fraction form
    456.06/682.33 = 319.34/x
  3. Step 3: Cross multiply
    456.06x = 682.33 × 319.34
  4. Step 4: Simplify right side
    456.06x = 217,895.26
  5. Step 5: Solve for x
    x = 217,895.26/456.06
  6. Step 6: Final answer
    x = 477.78

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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.