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Finding the Fourth Proportional to 395.35, 545.31 and 264.34

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Solution

The fourth proportional to 395.35, 545.31 and 264.34 is: 364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.35 : 545.31 = 264.34 : x
  2. Step 2: Convert to fraction form
    395.35/545.31 = 264.34/x
  3. Step 3: Cross multiply
    395.35x = 545.31 × 264.34
  4. Step 4: Simplify right side
    395.35x = 144,147.25
  5. Step 5: Solve for x
    x = 144,147.25/395.35
  6. Step 6: Final answer
    x = 364.61

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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.