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Finding the Fourth Proportional to 432.09, 595.82 and 376.34

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Solution

The fourth proportional to 432.09, 595.82 and 376.34 is: 518.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.09 : 595.82 = 376.34 : x
  2. Step 2: Convert to fraction form
    432.09/595.82 = 376.34/x
  3. Step 3: Cross multiply
    432.09x = 595.82 × 376.34
  4. Step 4: Simplify right side
    432.09x = 224,228.86
  5. Step 5: Solve for x
    x = 224,228.86/432.09
  6. Step 6: Final answer
    x = 518.94

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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.