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Finding the Fourth Proportional to 535.77, 739.17 and 314.64

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Solution

The fourth proportional to 535.77, 739.17 and 314.64 is: 434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.77 : 739.17 = 314.64 : x
  2. Step 2: Convert to fraction form
    535.77/739.17 = 314.64/x
  3. Step 3: Cross multiply
    535.77x = 739.17 × 314.64
  4. Step 4: Simplify right side
    535.77x = 232,572.45
  5. Step 5: Solve for x
    x = 232,572.45/535.77
  6. Step 6: Final answer
    x = 434.09

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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.