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Finding the Fourth Proportional to 416.78, 574.61 and 341.81

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Solution

The fourth proportional to 416.78, 574.61 and 341.81 is: 471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.78 : 574.61 = 341.81 : x
  2. Step 2: Convert to fraction form
    416.78/574.61 = 341.81/x
  3. Step 3: Cross multiply
    416.78x = 574.61 × 341.81
  4. Step 4: Simplify right side
    416.78x = 196,402.86
  5. Step 5: Solve for x
    x = 196,402.86/416.78
  6. Step 6: Final answer
    x = 471.24

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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.