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Finding the Fourth Proportional to 534.91, 801.01 and 361.39

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Solution

The fourth proportional to 534.91, 801.01 and 361.39 is: 541.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.91 : 801.01 = 361.39 : x
  2. Step 2: Convert to fraction form
    534.91/801.01 = 361.39/x
  3. Step 3: Cross multiply
    534.91x = 801.01 × 361.39
  4. Step 4: Simplify right side
    534.91x = 289,477.00
  5. Step 5: Solve for x
    x = 289,477.00/534.91
  6. Step 6: Final answer
    x = 541.17

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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.