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Finding the Fourth Proportional to 534.48, 737.79 and 459.50

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Solution

The fourth proportional to 534.48, 737.79 and 459.50 is: 634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.48 : 737.79 = 459.50 : x
  2. Step 2: Convert to fraction form
    534.48/737.79 = 459.50/x
  3. Step 3: Cross multiply
    534.48x = 737.79 × 459.50
  4. Step 4: Simplify right side
    534.48x = 339,013.75
  5. Step 5: Solve for x
    x = 339,013.75/534.48
  6. Step 6: Final answer
    x = 634.28

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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.