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Finding the Fourth Proportional to 429.64, 590.33 and 410.56

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Solution

The fourth proportional to 429.64, 590.33 and 410.56 is: 564.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.64 : 590.33 = 410.56 : x
  2. Step 2: Convert to fraction form
    429.64/590.33 = 410.56/x
  3. Step 3: Cross multiply
    429.64x = 590.33 × 410.56
  4. Step 4: Simplify right side
    429.64x = 242,365.88
  5. Step 5: Solve for x
    x = 242,365.88/429.64
  6. Step 6: Final answer
    x = 564.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.