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Finding the Fourth Proportional to 429.84, 593.12 and 243.36

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Solution

The fourth proportional to 429.84, 593.12 and 243.36 is: 335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.84 : 593.12 = 243.36 : x
  2. Step 2: Convert to fraction form
    429.84/593.12 = 243.36/x
  3. Step 3: Cross multiply
    429.84x = 593.12 × 243.36
  4. Step 4: Simplify right side
    429.84x = 144,341.68
  5. Step 5: Solve for x
    x = 144,341.68/429.84
  6. Step 6: Final answer
    x = 335.80

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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.