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Finding the Fourth Proportional to 394.92, 545.27 and 264.31

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Solution

The fourth proportional to 394.92, 545.27 and 264.31 is: 364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.92 : 545.27 = 264.31 : x
  2. Step 2: Convert to fraction form
    394.92/545.27 = 264.31/x
  3. Step 3: Cross multiply
    394.92x = 545.27 × 264.31
  4. Step 4: Simplify right side
    394.92x = 144,117.63
  5. Step 5: Solve for x
    x = 144,117.63/394.92
  6. Step 6: Final answer
    x = 364.93

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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.