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Finding the Fourth Proportional to 545.08, 815.59 and 325.82

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Solution

The fourth proportional to 545.08, 815.59 and 325.82 is: 487.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.08 : 815.59 = 325.82 : x
  2. Step 2: Convert to fraction form
    545.08/815.59 = 325.82/x
  3. Step 3: Cross multiply
    545.08x = 815.59 × 325.82
  4. Step 4: Simplify right side
    545.08x = 265,736.15
  5. Step 5: Solve for x
    x = 265,736.15/545.08
  6. Step 6: Final answer
    x = 487.52

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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.