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Finding the Fourth Proportional to 418.47, 577.31 and 294.14

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Solution

The fourth proportional to 418.47, 577.31 and 294.14 is: 405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.47 : 577.31 = 294.14 : x
  2. Step 2: Convert to fraction form
    418.47/577.31 = 294.14/x
  3. Step 3: Cross multiply
    418.47x = 577.31 × 294.14
  4. Step 4: Simplify right side
    418.47x = 169,805.61
  5. Step 5: Solve for x
    x = 169,805.61/418.47
  6. Step 6: Final answer
    x = 405.78

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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.