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Finding the Fourth Proportional to 534.51, 737.82 and 369.27

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Solution

The fourth proportional to 534.51, 737.82 and 369.27 is: 509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.51 : 737.82 = 369.27 : x
  2. Step 2: Convert to fraction form
    534.51/737.82 = 369.27/x
  3. Step 3: Cross multiply
    534.51x = 737.82 × 369.27
  4. Step 4: Simplify right side
    534.51x = 272,454.79
  5. Step 5: Solve for x
    x = 272,454.79/534.51
  6. Step 6: Final answer
    x = 509.73

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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.