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Finding the Fourth Proportional to 431.06, 594.86 and 262.96

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Solution

The fourth proportional to 431.06, 594.86 and 262.96 is: 362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.06 : 594.86 = 262.96 : x
  2. Step 2: Convert to fraction form
    431.06/594.86 = 262.96/x
  3. Step 3: Cross multiply
    431.06x = 594.86 × 262.96
  4. Step 4: Simplify right side
    431.06x = 156,424.39
  5. Step 5: Solve for x
    x = 156,424.39/431.06
  6. Step 6: Final answer
    x = 362.88

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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.