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Finding the Fourth Proportional to 419.31, 577.66 and 294.75

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Solution

The fourth proportional to 419.31, 577.66 and 294.75 is: 406.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.31 : 577.66 = 294.75 : x
  2. Step 2: Convert to fraction form
    419.31/577.66 = 294.75/x
  3. Step 3: Cross multiply
    419.31x = 577.66 × 294.75
  4. Step 4: Simplify right side
    419.31x = 170,265.29
  5. Step 5: Solve for x
    x = 170,265.29/419.31
  6. Step 6: Final answer
    x = 406.06

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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.