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Finding the Fourth Proportional to 429.21, 593.46 and 409.50

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Solution

The fourth proportional to 429.21, 593.46 and 409.50 is: 566.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.21 : 593.46 = 409.50 : x
  2. Step 2: Convert to fraction form
    429.21/593.46 = 409.50/x
  3. Step 3: Cross multiply
    429.21x = 593.46 × 409.50
  4. Step 4: Simplify right side
    429.21x = 243,021.87
  5. Step 5: Solve for x
    x = 243,021.87/429.21
  6. Step 6: Final answer
    x = 566.21

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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.