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Finding the Fourth Proportional to 322.03, 483.05 and 78.56

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Solution

The fourth proportional to 322.03, 483.05 and 78.56 is: 117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.03 : 483.05 = 78.56 : x
  2. Step 2: Convert to fraction form
    322.03/483.05 = 78.56/x
  3. Step 3: Cross multiply
    322.03x = 483.05 × 78.56
  4. Step 4: Simplify right side
    322.03x = 37,945.60
  5. Step 5: Solve for x
    x = 37,945.60/322.03
  6. Step 6: Final answer
    x = 117.83

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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.