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Finding the Fourth Proportional to 535.74, 739.32 and 299.71

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Solution

The fourth proportional to 535.74, 739.32 and 299.71 is: 413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.74 : 739.32 = 299.71 : x
  2. Step 2: Convert to fraction form
    535.74/739.32 = 299.71/x
  3. Step 3: Cross multiply
    535.74x = 739.32 × 299.71
  4. Step 4: Simplify right side
    535.74x = 221,581.60
  5. Step 5: Solve for x
    x = 221,581.60/535.74
  6. Step 6: Final answer
    x = 413.60

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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.