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Finding the Fourth Proportional to 410.82, 567.36 and 355.29

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Solution

The fourth proportional to 410.82, 567.36 and 355.29 is: 490.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.82 : 567.36 = 355.29 : x
  2. Step 2: Convert to fraction form
    410.82/567.36 = 355.29/x
  3. Step 3: Cross multiply
    410.82x = 567.36 × 355.29
  4. Step 4: Simplify right side
    410.82x = 201,577.33
  5. Step 5: Solve for x
    x = 201,577.33/410.82
  6. Step 6: Final answer
    x = 490.67

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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.