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Finding the Fourth Proportional to 431.30, 594.62 and 343.07

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Solution

The fourth proportional to 431.30, 594.62 and 343.07 is: 472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.30 : 594.62 = 343.07 : x
  2. Step 2: Convert to fraction form
    431.30/594.62 = 343.07/x
  3. Step 3: Cross multiply
    431.30x = 594.62 × 343.07
  4. Step 4: Simplify right side
    431.30x = 203,998.63
  5. Step 5: Solve for x
    x = 203,998.63/431.30
  6. Step 6: Final answer
    x = 472.98

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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.