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Finding the Fourth Proportional to 535.63, 739.13 and 299.58

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Solution

The fourth proportional to 535.63, 739.13 and 299.58 is: 413.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.63 : 739.13 = 299.58 : x
  2. Step 2: Convert to fraction form
    535.63/739.13 = 299.58/x
  3. Step 3: Cross multiply
    535.63x = 739.13 × 299.58
  4. Step 4: Simplify right side
    535.63x = 221,428.45
  5. Step 5: Solve for x
    x = 221,428.45/535.63
  6. Step 6: Final answer
    x = 413.40

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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.