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Finding the Fourth Proportional to 431.06, 594.87 and 242

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Solution

The fourth proportional to 431.06, 594.87 and 242 is: 333.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.06 : 594.87 = 242 : x
  2. Step 2: Convert to fraction form
    431.06/594.87 = 242/x
  3. Step 3: Cross multiply
    431.06x = 594.87 × 242
  4. Step 4: Simplify right side
    431.06x = 143,958.54
  5. Step 5: Solve for x
    x = 143,958.54/431.06
  6. Step 6: Final answer
    x = 333.96

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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.