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Finding the Fourth Proportional to 273.24, 410.10 and 257.40

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Solution

The fourth proportional to 273.24, 410.10 and 257.40 is: 386.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.24 : 410.10 = 257.40 : x
  2. Step 2: Convert to fraction form
    273.24/410.10 = 257.40/x
  3. Step 3: Cross multiply
    273.24x = 410.10 × 257.40
  4. Step 4: Simplify right side
    273.24x = 105,559.74
  5. Step 5: Solve for x
    x = 105,559.74/273.24
  6. Step 6: Final answer
    x = 386.33

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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.