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Finding the Fourth Proportional to 535.40, 739.02 and 314.36

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Solution

The fourth proportional to 535.40, 739.02 and 314.36 is: 433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.40 : 739.02 = 314.36 : x
  2. Step 2: Convert to fraction form
    535.40/739.02 = 314.36/x
  3. Step 3: Cross multiply
    535.40x = 739.02 × 314.36
  4. Step 4: Simplify right side
    535.40x = 232,318.33
  5. Step 5: Solve for x
    x = 232,318.33/535.40
  6. Step 6: Final answer
    x = 433.92

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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.