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Finding the Fourth Proportional to 432.08, 596.27 and 255.17

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Solution

The fourth proportional to 432.08, 596.27 and 255.17 is: 352.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.08 : 596.27 = 255.17 : x
  2. Step 2: Convert to fraction form
    432.08/596.27 = 255.17/x
  3. Step 3: Cross multiply
    432.08x = 596.27 × 255.17
  4. Step 4: Simplify right side
    432.08x = 152,150.22
  5. Step 5: Solve for x
    x = 152,150.22/432.08
  6. Step 6: Final answer
    x = 352.13

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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.