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Finding the Fourth Proportional to 432.71, 597.34 and 255.70

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Solution

The fourth proportional to 432.71, 597.34 and 255.70 is: 352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.71 : 597.34 = 255.70 : x
  2. Step 2: Convert to fraction form
    432.71/597.34 = 255.70/x
  3. Step 3: Cross multiply
    432.71x = 597.34 × 255.70
  4. Step 4: Simplify right side
    432.71x = 152,736.85
  5. Step 5: Solve for x
    x = 152,736.85/432.71
  6. Step 6: Final answer
    x = 352.98

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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.