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Finding the Fourth Proportional to 483.24, 725.12 and 457.11

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Solution

The fourth proportional to 483.24, 725.12 and 457.11 is: 685.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.24 : 725.12 = 457.11 : x
  2. Step 2: Convert to fraction form
    483.24/725.12 = 457.11/x
  3. Step 3: Cross multiply
    483.24x = 725.12 × 457.11
  4. Step 4: Simplify right side
    483.24x = 331,453.69
  5. Step 5: Solve for x
    x = 331,453.69/483.24
  6. Step 6: Final answer
    x = 685.90

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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.