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Finding the Fourth Proportional to 534.07, 737.13 and 359.31

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Solution

The fourth proportional to 534.07, 737.13 and 359.31 is: 495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.07 : 737.13 = 359.31 : x
  2. Step 2: Convert to fraction form
    534.07/737.13 = 359.31/x
  3. Step 3: Cross multiply
    534.07x = 737.13 × 359.31
  4. Step 4: Simplify right side
    534.07x = 264,858.18
  5. Step 5: Solve for x
    x = 264,858.18/534.07
  6. Step 6: Final answer
    x = 495.92

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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.