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Finding the Fourth Proportional to 418.67, 577.68 and 308.24

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Solution

The fourth proportional to 418.67, 577.68 and 308.24 is: 425.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.67 : 577.68 = 308.24 : x
  2. Step 2: Convert to fraction form
    418.67/577.68 = 308.24/x
  3. Step 3: Cross multiply
    418.67x = 577.68 × 308.24
  4. Step 4: Simplify right side
    418.67x = 178,064.08
  5. Step 5: Solve for x
    x = 178,064.08/418.67
  6. Step 6: Final answer
    x = 425.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.