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Finding the Fourth Proportional to 453.76, 679.02 and 446.47

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Solution

The fourth proportional to 453.76, 679.02 and 446.47 is: 668.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.76 : 679.02 = 446.47 : x
  2. Step 2: Convert to fraction form
    453.76/679.02 = 446.47/x
  3. Step 3: Cross multiply
    453.76x = 679.02 × 446.47
  4. Step 4: Simplify right side
    453.76x = 303,162.06
  5. Step 5: Solve for x
    x = 303,162.06/453.76
  6. Step 6: Final answer
    x = 668.11

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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.