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Finding the Fourth Proportional to 273.48, 410.22 and 257.64

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Solution

The fourth proportional to 273.48, 410.22 and 257.64 is: 386.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.48 : 410.22 = 257.64 : x
  2. Step 2: Convert to fraction form
    273.48/410.22 = 257.64/x
  3. Step 3: Cross multiply
    273.48x = 410.22 × 257.64
  4. Step 4: Simplify right side
    273.48x = 105,689.08
  5. Step 5: Solve for x
    x = 105,689.08/273.48
  6. Step 6: Final answer
    x = 386.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.