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Finding the Fourth Proportional to 395.34, 545.86 and 264.66

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Solution

The fourth proportional to 395.34, 545.86 and 264.66 is: 365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.34 : 545.86 = 264.66 : x
  2. Step 2: Convert to fraction form
    395.34/545.86 = 264.66/x
  3. Step 3: Cross multiply
    395.34x = 545.86 × 264.66
  4. Step 4: Simplify right side
    395.34x = 144,467.31
  5. Step 5: Solve for x
    x = 144,467.31/395.34
  6. Step 6: Final answer
    x = 365.43

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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.