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Finding the Fourth Proportional to 321.84, 482.76 and 78.37

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Solution

The fourth proportional to 321.84, 482.76 and 78.37 is: 117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.84 : 482.76 = 78.37 : x
  2. Step 2: Convert to fraction form
    321.84/482.76 = 78.37/x
  3. Step 3: Cross multiply
    321.84x = 482.76 × 78.37
  4. Step 4: Simplify right side
    321.84x = 37,832.69
  5. Step 5: Solve for x
    x = 37,832.69/321.84
  6. Step 6: Final answer
    x = 117.55

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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.