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Finding the Fourth Proportional to 432.80, 645.60 and 381.76

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Solution

The fourth proportional to 432.80, 645.60 and 381.76 is: 569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.80 : 645.60 = 381.76 : x
  2. Step 2: Convert to fraction form
    432.80/645.60 = 381.76/x
  3. Step 3: Cross multiply
    432.80x = 645.60 × 381.76
  4. Step 4: Simplify right side
    432.80x = 246,464.26
  5. Step 5: Solve for x
    x = 246,464.26/432.80
  6. Step 6: Final answer
    x = 569.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.