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Finding the Fourth Proportional to 357.96, 538.14 and 276.84

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Solution

The fourth proportional to 357.96, 538.14 and 276.84 is: 416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.96 : 538.14 = 276.84 : x
  2. Step 2: Convert to fraction form
    357.96/538.14 = 276.84/x
  3. Step 3: Cross multiply
    357.96x = 538.14 × 276.84
  4. Step 4: Simplify right side
    357.96x = 148,978.68
  5. Step 5: Solve for x
    x = 148,978.68/357.96
  6. Step 6: Final answer
    x = 416.19

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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.