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Finding the Fourth Proportional to 535.93, 739.47 and 314.80

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Solution

The fourth proportional to 535.93, 739.47 and 314.80 is: 434.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.93 : 739.47 = 314.80 : x
  2. Step 2: Convert to fraction form
    535.93/739.47 = 314.80/x
  3. Step 3: Cross multiply
    535.93x = 739.47 × 314.80
  4. Step 4: Simplify right side
    535.93x = 232,785.16
  5. Step 5: Solve for x
    x = 232,785.16/535.93
  6. Step 6: Final answer
    x = 434.36

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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.