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Finding the Fourth Proportional to 429.56, 591.82 and 409.08

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Solution

The fourth proportional to 429.56, 591.82 and 409.08 is: 563.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.56 : 591.82 = 409.08 : x
  2. Step 2: Convert to fraction form
    429.56/591.82 = 409.08/x
  3. Step 3: Cross multiply
    429.56x = 591.82 × 409.08
  4. Step 4: Simplify right side
    429.56x = 242,101.73
  5. Step 5: Solve for x
    x = 242,101.73/429.56
  6. Step 6: Final answer
    x = 563.60

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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.