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Finding the Fourth Proportional to 395.54, 545.34 and 302.13

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Solution

The fourth proportional to 395.54, 545.34 and 302.13 is: 416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.54 : 545.34 = 302.13 : x
  2. Step 2: Convert to fraction form
    395.54/545.34 = 302.13/x
  3. Step 3: Cross multiply
    395.54x = 545.34 × 302.13
  4. Step 4: Simplify right side
    395.54x = 164,764.94
  5. Step 5: Solve for x
    x = 164,764.94/395.54
  6. Step 6: Final answer
    x = 416.56

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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.