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Finding the Fourth Proportional to 394.65, 545.37 and 296.24

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Solution

The fourth proportional to 394.65, 545.37 and 296.24 is: 409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.65 : 545.37 = 296.24 : x
  2. Step 2: Convert to fraction form
    394.65/545.37 = 296.24/x
  3. Step 3: Cross multiply
    394.65x = 545.37 × 296.24
  4. Step 4: Simplify right side
    394.65x = 161,556.57
  5. Step 5: Solve for x
    x = 161,556.57/394.65
  6. Step 6: Final answer
    x = 409.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.