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Finding the Fourth Proportional to 429.72, 593.10 and 303.90

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Solution

The fourth proportional to 429.72, 593.10 and 303.90 is: 419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.72 : 593.10 = 303.90 : x
  2. Step 2: Convert to fraction form
    429.72/593.10 = 303.90/x
  3. Step 3: Cross multiply
    429.72x = 593.10 × 303.90
  4. Step 4: Simplify right side
    429.72x = 180,243.09
  5. Step 5: Solve for x
    x = 180,243.09/429.72
  6. Step 6: Final answer
    x = 419.44

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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.