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Finding the Fourth Proportional to 409.56, 565.18 and 262.14

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Solution

The fourth proportional to 409.56, 565.18 and 262.14 is: 361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.56 : 565.18 = 262.14 : x
  2. Step 2: Convert to fraction form
    409.56/565.18 = 262.14/x
  3. Step 3: Cross multiply
    409.56x = 565.18 × 262.14
  4. Step 4: Simplify right side
    409.56x = 148,153.51
  5. Step 5: Solve for x
    x = 148,153.51/409.56
  6. Step 6: Final answer
    x = 361.74

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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.