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Finding the Fourth Proportional to 535.94, 739.66 and 314.96

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Solution

The fourth proportional to 535.94, 739.66 and 314.96 is: 434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.94 : 739.66 = 314.96 : x
  2. Step 2: Convert to fraction form
    535.94/739.66 = 314.96/x
  3. Step 3: Cross multiply
    535.94x = 739.66 × 314.96
  4. Step 4: Simplify right side
    535.94x = 232,963.31
  5. Step 5: Solve for x
    x = 232,963.31/535.94
  6. Step 6: Final answer
    x = 434.68

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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.