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Finding the Fourth Proportional to 432.70, 596.87 and 277.45

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Solution

The fourth proportional to 432.70, 596.87 and 277.45 is: 382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.70 : 596.87 = 277.45 : x
  2. Step 2: Convert to fraction form
    432.70/596.87 = 277.45/x
  3. Step 3: Cross multiply
    432.70x = 596.87 × 277.45
  4. Step 4: Simplify right side
    432.70x = 165,599.74
  5. Step 5: Solve for x
    x = 165,599.74/432.70
  6. Step 6: Final answer
    x = 382.71

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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.