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Finding the Fourth Proportional to 431.06, 594.92 and 256.41

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Solution

The fourth proportional to 431.06, 594.92 and 256.41 is: 353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.06 : 594.92 = 256.41 : x
  2. Step 2: Convert to fraction form
    431.06/594.92 = 256.41/x
  3. Step 3: Cross multiply
    431.06x = 594.92 × 256.41
  4. Step 4: Simplify right side
    431.06x = 152,542.16
  5. Step 5: Solve for x
    x = 152,542.16/431.06
  6. Step 6: Final answer
    x = 353.87

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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.