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Finding the Fourth Proportional to 432.25, 596.54 and 245.80

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Solution

The fourth proportional to 432.25, 596.54 and 245.80 is: 339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.25 : 596.54 = 245.80 : x
  2. Step 2: Convert to fraction form
    432.25/596.54 = 245.80/x
  3. Step 3: Cross multiply
    432.25x = 596.54 × 245.80
  4. Step 4: Simplify right side
    432.25x = 146,629.53
  5. Step 5: Solve for x
    x = 146,629.53/432.25
  6. Step 6: Final answer
    x = 339.22

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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.