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Finding the Fourth Proportional to 418.67, 577.76 and 232.14

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Solution

The fourth proportional to 418.67, 577.76 and 232.14 is: 320.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.67 : 577.76 = 232.14 : x
  2. Step 2: Convert to fraction form
    418.67/577.76 = 232.14/x
  3. Step 3: Cross multiply
    418.67x = 577.76 × 232.14
  4. Step 4: Simplify right side
    418.67x = 134,120.05
  5. Step 5: Solve for x
    x = 134,120.05/418.67
  6. Step 6: Final answer
    x = 320.35

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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.