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Finding the Fourth Proportional to 438.79, 657.94 and 276.13

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Solution

The fourth proportional to 438.79, 657.94 and 276.13 is: 414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.79 : 657.94 = 276.13 : x
  2. Step 2: Convert to fraction form
    438.79/657.94 = 276.13/x
  3. Step 3: Cross multiply
    438.79x = 657.94 × 276.13
  4. Step 4: Simplify right side
    438.79x = 181,673.68
  5. Step 5: Solve for x
    x = 181,673.68/438.79
  6. Step 6: Final answer
    x = 414.03

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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.