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Finding the Fourth Proportional to 535.95, 739.85 and 356.49

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Solution

The fourth proportional to 535.95, 739.85 and 356.49 is: 492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.95 : 739.85 = 356.49 : x
  2. Step 2: Convert to fraction form
    535.95/739.85 = 356.49/x
  3. Step 3: Cross multiply
    535.95x = 739.85 × 356.49
  4. Step 4: Simplify right side
    535.95x = 263,747.34
  5. Step 5: Solve for x
    x = 263,747.34/535.95
  6. Step 6: Final answer
    x = 492.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.