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Finding the Fourth Proportional to 395.35, 545.78 and 248.07

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Solution

The fourth proportional to 395.35, 545.78 and 248.07 is: 342.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.35 : 545.78 = 248.07 : x
  2. Step 2: Convert to fraction form
    395.35/545.78 = 248.07/x
  3. Step 3: Cross multiply
    395.35x = 545.78 × 248.07
  4. Step 4: Simplify right side
    395.35x = 135,391.64
  5. Step 5: Solve for x
    x = 135,391.64/395.35
  6. Step 6: Final answer
    x = 342.46

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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.