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Finding the Fourth Proportional to 419.41, 577.97 and 314.62

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Solution

The fourth proportional to 419.41, 577.97 and 314.62 is: 433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.41 : 577.97 = 314.62 : x
  2. Step 2: Convert to fraction form
    419.41/577.97 = 314.62/x
  3. Step 3: Cross multiply
    419.41x = 577.97 × 314.62
  4. Step 4: Simplify right side
    419.41x = 181,839.08
  5. Step 5: Solve for x
    x = 181,839.08/419.41
  6. Step 6: Final answer
    x = 433.56

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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.