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Finding the Fourth Proportional to 536.09, 739.60 and 314.96

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Solution

The fourth proportional to 536.09, 739.60 and 314.96 is: 434.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.09 : 739.60 = 314.96 : x
  2. Step 2: Convert to fraction form
    536.09/739.60 = 314.96/x
  3. Step 3: Cross multiply
    536.09x = 739.60 × 314.96
  4. Step 4: Simplify right side
    536.09x = 232,939.93
  5. Step 5: Solve for x
    x = 232,939.93/536.09
  6. Step 6: Final answer
    x = 434.52

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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.