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Finding the Fourth Proportional to 545.05, 816.63 and 325.54

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Solution

The fourth proportional to 545.05, 816.63 and 325.54 is: 487.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.05 : 816.63 = 325.54 : x
  2. Step 2: Convert to fraction form
    545.05/816.63 = 325.54/x
  3. Step 3: Cross multiply
    545.05x = 816.63 × 325.54
  4. Step 4: Simplify right side
    545.05x = 265,845.73
  5. Step 5: Solve for x
    x = 265,845.73/545.05
  6. Step 6: Final answer
    x = 487.75

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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.