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Finding the Fourth Proportional to 410.21, 566.49 and 350.85

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Solution

The fourth proportional to 410.21, 566.49 and 350.85 is: 484.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.21 : 566.49 = 350.85 : x
  2. Step 2: Convert to fraction form
    410.21/566.49 = 350.85/x
  3. Step 3: Cross multiply
    410.21x = 566.49 × 350.85
  4. Step 4: Simplify right side
    410.21x = 198,751.26
  5. Step 5: Solve for x
    x = 198,751.26/410.21
  6. Step 6: Final answer
    x = 484.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.