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Finding the Fourth Proportional to 534.66, 800.64 and 361.14

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Solution

The fourth proportional to 534.66, 800.64 and 361.14 is: 540.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.66 : 800.64 = 361.14 : x
  2. Step 2: Convert to fraction form
    534.66/800.64 = 361.14/x
  3. Step 3: Cross multiply
    534.66x = 800.64 × 361.14
  4. Step 4: Simplify right side
    534.66x = 289,143.13
  5. Step 5: Solve for x
    x = 289,143.13/534.66
  6. Step 6: Final answer
    x = 540.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.