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Finding the Fourth Proportional to 395.89, 545.75 and 277.50

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Solution

The fourth proportional to 395.89, 545.75 and 277.50 is: 382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.89 : 545.75 = 277.50 : x
  2. Step 2: Convert to fraction form
    395.89/545.75 = 277.50/x
  3. Step 3: Cross multiply
    395.89x = 545.75 × 277.50
  4. Step 4: Simplify right side
    395.89x = 151,445.63
  5. Step 5: Solve for x
    x = 151,445.63/395.89
  6. Step 6: Final answer
    x = 382.54

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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.