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Finding the Fourth Proportional to 483.17, 725.65 and 252.22

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Solution

The fourth proportional to 483.17, 725.65 and 252.22 is: 378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.17 : 725.65 = 252.22 : x
  2. Step 2: Convert to fraction form
    483.17/725.65 = 252.22/x
  3. Step 3: Cross multiply
    483.17x = 725.65 × 252.22
  4. Step 4: Simplify right side
    483.17x = 183,024.07
  5. Step 5: Solve for x
    x = 183,024.07/483.17
  6. Step 6: Final answer
    x = 378.80

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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.