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Finding the Fourth Proportional to 418.60, 577.70 and 232.14

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Solution

The fourth proportional to 418.60, 577.70 and 232.14 is: 320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.60 : 577.70 = 232.14 : x
  2. Step 2: Convert to fraction form
    418.60/577.70 = 232.14/x
  3. Step 3: Cross multiply
    418.60x = 577.70 × 232.14
  4. Step 4: Simplify right side
    418.60x = 134,109.15
  5. Step 5: Solve for x
    x = 134,109.15/418.60
  6. Step 6: Final answer
    x = 320.38

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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.