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Finding the Fourth Proportional to 410.24, 565.94 and 262.82

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Solution

The fourth proportional to 410.24, 565.94 and 262.82 is: 362.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.24 : 565.94 = 262.82 : x
  2. Step 2: Convert to fraction form
    410.24/565.94 = 262.82/x
  3. Step 3: Cross multiply
    410.24x = 565.94 × 262.82
  4. Step 4: Simplify right side
    410.24x = 148,736.21
  5. Step 5: Solve for x
    x = 148,736.21/410.24
  6. Step 6: Final answer
    x = 362.56

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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.