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Finding the Fourth Proportional to 535.72, 739.30 and 314.66

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Solution

The fourth proportional to 535.72, 739.30 and 314.66 is: 434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.72 : 739.30 = 314.66 : x
  2. Step 2: Convert to fraction form
    535.72/739.30 = 314.66/x
  3. Step 3: Cross multiply
    535.72x = 739.30 × 314.66
  4. Step 4: Simplify right side
    535.72x = 232,628.14
  5. Step 5: Solve for x
    x = 232,628.14/535.72
  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.