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Finding the Fourth Proportional to 431.94, 596.18 and 257.25

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Solution

The fourth proportional to 431.94, 596.18 and 257.25 is: 355.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.94 : 596.18 = 257.25 : x
  2. Step 2: Convert to fraction form
    431.94/596.18 = 257.25/x
  3. Step 3: Cross multiply
    431.94x = 596.18 × 257.25
  4. Step 4: Simplify right side
    431.94x = 153,367.95
  5. Step 5: Solve for x
    x = 153,367.95/431.94
  6. Step 6: Final answer
    x = 355.07

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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.