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Finding the Fourth Proportional to 429.67, 593.11 and 298.75

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Solution

The fourth proportional to 429.67, 593.11 and 298.75 is: 412.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.67 : 593.11 = 298.75 : x
  2. Step 2: Convert to fraction form
    429.67/593.11 = 298.75/x
  3. Step 3: Cross multiply
    429.67x = 593.11 × 298.75
  4. Step 4: Simplify right side
    429.67x = 177,191.61
  5. Step 5: Solve for x
    x = 177,191.61/429.67
  6. Step 6: Final answer
    x = 412.39

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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.