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Finding the Fourth Proportional to 395.47, 545.70 and 264.25

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Solution

The fourth proportional to 395.47, 545.70 and 264.25 is: 364.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.47 : 545.70 = 264.25 : x
  2. Step 2: Convert to fraction form
    395.47/545.70 = 264.25/x
  3. Step 3: Cross multiply
    395.47x = 545.70 × 264.25
  4. Step 4: Simplify right side
    395.47x = 144,201.23
  5. Step 5: Solve for x
    x = 144,201.23/395.47
  6. Step 6: Final answer
    x = 364.63

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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.