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Finding the Fourth Proportional to 483.65, 725.04 and 175.43

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Solution

The fourth proportional to 483.65, 725.04 and 175.43 is: 262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.65 : 725.04 = 175.43 : x
  2. Step 2: Convert to fraction form
    483.65/725.04 = 175.43/x
  3. Step 3: Cross multiply
    483.65x = 725.04 × 175.43
  4. Step 4: Simplify right side
    483.65x = 127,190.14
  5. Step 5: Solve for x
    x = 127,190.14/483.65
  6. Step 6: Final answer
    x = 262.98

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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.