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Finding the Fourth Proportional to 535.80, 739.43 and 314.74

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Solution

The fourth proportional to 535.80, 739.43 and 314.74 is: 434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.80 : 739.43 = 314.74 : x
  2. Step 2: Convert to fraction form
    535.80/739.43 = 314.74/x
  3. Step 3: Cross multiply
    535.80x = 739.43 × 314.74
  4. Step 4: Simplify right side
    535.80x = 232,728.20
  5. Step 5: Solve for x
    x = 232,728.20/535.80
  6. Step 6: Final answer
    x = 434.36

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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.