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Finding the Fourth Proportional to 536.13, 739.86 and 315.08

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Solution

The fourth proportional to 536.13, 739.86 and 315.08 is: 434.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.13 : 739.86 = 315.08 : x
  2. Step 2: Convert to fraction form
    536.13/739.86 = 315.08/x
  3. Step 3: Cross multiply
    536.13x = 739.86 × 315.08
  4. Step 4: Simplify right side
    536.13x = 233,112.98
  5. Step 5: Solve for x
    x = 233,112.98/536.13
  6. Step 6: Final answer
    x = 434.81

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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.