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Finding the Fourth Proportional to 429.76, 593.76 and 361.60

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Solution

The fourth proportional to 429.76, 593.76 and 361.60 is: 499.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.76 : 593.76 = 361.60 : x
  2. Step 2: Convert to fraction form
    429.76/593.76 = 361.60/x
  3. Step 3: Cross multiply
    429.76x = 593.76 × 361.60
  4. Step 4: Simplify right side
    429.76x = 214,703.62
  5. Step 5: Solve for x
    x = 214,703.62/429.76
  6. Step 6: Final answer
    x = 499.59

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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.