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Finding the Fourth Proportional to 453.24, 624.24 and 431.28

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Solution

The fourth proportional to 453.24, 624.24 and 431.28 is: 593.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.24 : 624.24 = 431.28 : x
  2. Step 2: Convert to fraction form
    453.24/624.24 = 431.28/x
  3. Step 3: Cross multiply
    453.24x = 624.24 × 431.28
  4. Step 4: Simplify right side
    453.24x = 269,222.23
  5. Step 5: Solve for x
    x = 269,222.23/453.24
  6. Step 6: Final answer
    x = 593.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.