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Finding the Fourth Proportional to 273.54, 377.29 and 264.50

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Solution

The fourth proportional to 273.54, 377.29 and 264.50 is: 364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.54 : 377.29 = 264.50 : x
  2. Step 2: Convert to fraction form
    273.54/377.29 = 264.50/x
  3. Step 3: Cross multiply
    273.54x = 377.29 × 264.50
  4. Step 4: Simplify right side
    273.54x = 99,792.26
  5. Step 5: Solve for x
    x = 99,792.26/273.54
  6. Step 6: Final answer
    x = 364.82

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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.