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Finding the Fourth Proportional to 432.25, 596.15 and 257.47

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Solution

The fourth proportional to 432.25, 596.15 and 257.47 is: 355.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.25 : 596.15 = 257.47 : x
  2. Step 2: Convert to fraction form
    432.25/596.15 = 257.47/x
  3. Step 3: Cross multiply
    432.25x = 596.15 × 257.47
  4. Step 4: Simplify right side
    432.25x = 153,489.45
  5. Step 5: Solve for x
    x = 153,489.45/432.25
  6. Step 6: Final answer
    x = 355.09

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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.