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Finding the Fourth Proportional to 321.83, 482.74 and 253.71

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Solution

The fourth proportional to 321.83, 482.74 and 253.71 is: 380.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.83 : 482.74 = 253.71 : x
  2. Step 2: Convert to fraction form
    321.83/482.74 = 253.71/x
  3. Step 3: Cross multiply
    321.83x = 482.74 × 253.71
  4. Step 4: Simplify right side
    321.83x = 122,475.97
  5. Step 5: Solve for x
    x = 122,475.97/321.83
  6. Step 6: Final answer
    x = 380.57

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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.