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Finding the Fourth Proportional to 429.75, 593.33 and 311.92

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Solution

The fourth proportional to 429.75, 593.33 and 311.92 is: 430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.75 : 593.33 = 311.92 : x
  2. Step 2: Convert to fraction form
    429.75/593.33 = 311.92/x
  3. Step 3: Cross multiply
    429.75x = 593.33 × 311.92
  4. Step 4: Simplify right side
    429.75x = 185,071.49
  5. Step 5: Solve for x
    x = 185,071.49/429.75
  6. Step 6: Final answer
    x = 430.65

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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.