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Finding the Fourth Proportional to 535.87, 739.59 and 314.96

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Solution

The fourth proportional to 535.87, 739.59 and 314.96 is: 434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.87 : 739.59 = 314.96 : x
  2. Step 2: Convert to fraction form
    535.87/739.59 = 314.96/x
  3. Step 3: Cross multiply
    535.87x = 739.59 × 314.96
  4. Step 4: Simplify right side
    535.87x = 232,937.57
  5. Step 5: Solve for x
    x = 232,937.57/535.87
  6. Step 6: Final answer
    x = 434.69

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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.