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Finding the Fourth Proportional to 456.78, 681.86 and 422.49

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Solution

The fourth proportional to 456.78, 681.86 and 422.49 is: 630.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.78 : 681.86 = 422.49 : x
  2. Step 2: Convert to fraction form
    456.78/681.86 = 422.49/x
  3. Step 3: Cross multiply
    456.78x = 681.86 × 422.49
  4. Step 4: Simplify right side
    456.78x = 288,076.92
  5. Step 5: Solve for x
    x = 288,076.92/456.78
  6. Step 6: Final answer
    x = 630.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.