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Finding the Fourth Proportional to 535.70, 739.32 and 314.64

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Solution

The fourth proportional to 535.70, 739.32 and 314.64 is: 434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.70 : 739.32 = 314.64 : x
  2. Step 2: Convert to fraction form
    535.70/739.32 = 314.64/x
  3. Step 3: Cross multiply
    535.70x = 739.32 × 314.64
  4. Step 4: Simplify right side
    535.70x = 232,619.64
  5. Step 5: Solve for x
    x = 232,619.64/535.70
  6. Step 6: Final answer
    x = 434.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.