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Finding the Fourth Proportional to 432.25, 596.51 and 255.27

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Solution

The fourth proportional to 432.25, 596.51 and 255.27 is: 352.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.25 : 596.51 = 255.27 : x
  2. Step 2: Convert to fraction form
    432.25/596.51 = 255.27/x
  3. Step 3: Cross multiply
    432.25x = 596.51 × 255.27
  4. Step 4: Simplify right side
    432.25x = 152,271.11
  5. Step 5: Solve for x
    x = 152,271.11/432.25
  6. Step 6: Final answer
    x = 352.28

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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.