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Finding the Fourth Proportional to 432.42, 596.54 and 255.26

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Solution

The fourth proportional to 432.42, 596.54 and 255.26 is: 352.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.42 : 596.54 = 255.26 : x
  2. Step 2: Convert to fraction form
    432.42/596.54 = 255.26/x
  3. Step 3: Cross multiply
    432.42x = 596.54 × 255.26
  4. Step 4: Simplify right side
    432.42x = 152,273.49
  5. Step 5: Solve for x
    x = 152,273.49/432.42
  6. Step 6: Final answer
    x = 352.15

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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.