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Finding the Fourth Proportional to 453.17, 678.27 and 299.27

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Solution

The fourth proportional to 453.17, 678.27 and 299.27 is: 447.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.17 : 678.27 = 299.27 : x
  2. Step 2: Convert to fraction form
    453.17/678.27 = 299.27/x
  3. Step 3: Cross multiply
    453.17x = 678.27 × 299.27
  4. Step 4: Simplify right side
    453.17x = 202,985.86
  5. Step 5: Solve for x
    x = 202,985.86/453.17
  6. Step 6: Final answer
    x = 447.92

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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.