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Finding the Fourth Proportional to 429.70, 593.07 and 243.19

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Solution

The fourth proportional to 429.70, 593.07 and 243.19 is: 335.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.70 : 593.07 = 243.19 : x
  2. Step 2: Convert to fraction form
    429.70/593.07 = 243.19/x
  3. Step 3: Cross multiply
    429.70x = 593.07 × 243.19
  4. Step 4: Simplify right side
    429.70x = 144,226.60
  5. Step 5: Solve for x
    x = 144,226.60/429.70
  6. Step 6: Final answer
    x = 335.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.