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Finding the Fourth Proportional to 418.78, 577.36 and 343.81

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Solution

The fourth proportional to 418.78, 577.36 and 343.81 is: 474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.78 : 577.36 = 343.81 : x
  2. Step 2: Convert to fraction form
    418.78/577.36 = 343.81/x
  3. Step 3: Cross multiply
    418.78x = 577.36 × 343.81
  4. Step 4: Simplify right side
    418.78x = 198,502.14
  5. Step 5: Solve for x
    x = 198,502.14/418.78
  6. Step 6: Final answer
    x = 474.00

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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.