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Finding the Fourth Proportional to 394.80, 545.04 and 264

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Solution

The fourth proportional to 394.80, 545.04 and 264 is: 364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.80 : 545.04 = 264 : x
  2. Step 2: Convert to fraction form
    394.80/545.04 = 264/x
  3. Step 3: Cross multiply
    394.80x = 545.04 × 264
  4. Step 4: Simplify right side
    394.80x = 143,890.56
  5. Step 5: Solve for x
    x = 143,890.56/394.80
  6. Step 6: Final answer
    x = 364.46

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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.