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Finding the Fourth Proportional to 535.10, 737.63 and 377.21

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Solution

The fourth proportional to 535.10, 737.63 and 377.21 is: 519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.10 : 737.63 = 377.21 : x
  2. Step 2: Convert to fraction form
    535.10/737.63 = 377.21/x
  3. Step 3: Cross multiply
    535.10x = 737.63 × 377.21
  4. Step 4: Simplify right side
    535.10x = 278,235.84
  5. Step 5: Solve for x
    x = 278,235.84/535.10
  6. Step 6: Final answer
    x = 519.97

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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.