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Finding the Fourth Proportional to 536.94, 739.23 and 459.18

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Solution

The fourth proportional to 536.94, 739.23 and 459.18 is: 632.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.94 : 739.23 = 459.18 : x
  2. Step 2: Convert to fraction form
    536.94/739.23 = 459.18/x
  3. Step 3: Cross multiply
    536.94x = 739.23 × 459.18
  4. Step 4: Simplify right side
    536.94x = 339,439.63
  5. Step 5: Solve for x
    x = 339,439.63/536.94
  6. Step 6: Final answer
    x = 632.17

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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.