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Finding the Fourth Proportional to 273.28, 407.16 and 259.51

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Solution

The fourth proportional to 273.28, 407.16 and 259.51 is: 386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.28 : 407.16 = 259.51 : x
  2. Step 2: Convert to fraction form
    273.28/407.16 = 259.51/x
  3. Step 3: Cross multiply
    273.28x = 407.16 × 259.51
  4. Step 4: Simplify right side
    273.28x = 105,660.79
  5. Step 5: Solve for x
    x = 105,660.79/273.28
  6. Step 6: Final answer
    x = 386.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.