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Finding the Fourth Proportional to 432.50, 596.86 and 277.34

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Solution

The fourth proportional to 432.50, 596.86 and 277.34 is: 382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.50 : 596.86 = 277.34 : x
  2. Step 2: Convert to fraction form
    432.50/596.86 = 277.34/x
  3. Step 3: Cross multiply
    432.50x = 596.86 × 277.34
  4. Step 4: Simplify right side
    432.50x = 165,533.15
  5. Step 5: Solve for x
    x = 165,533.15/432.50
  6. Step 6: Final answer
    x = 382.74

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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.