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Finding the Fourth Proportional to 456.16, 682.91 and 282.30

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Solution

The fourth proportional to 456.16, 682.91 and 282.30 is: 422.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.16 : 682.91 = 282.30 : x
  2. Step 2: Convert to fraction form
    456.16/682.91 = 282.30/x
  3. Step 3: Cross multiply
    456.16x = 682.91 × 282.30
  4. Step 4: Simplify right side
    456.16x = 192,785.49
  5. Step 5: Solve for x
    x = 192,785.49/456.16
  6. Step 6: Final answer
    x = 422.63

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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.