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Finding the Fourth Proportional to 536.24, 739.85 and 315.27

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Solution

The fourth proportional to 536.24, 739.85 and 315.27 is: 434.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.24 : 739.85 = 315.27 : x
  2. Step 2: Convert to fraction form
    536.24/739.85 = 315.27/x
  3. Step 3: Cross multiply
    536.24x = 739.85 × 315.27
  4. Step 4: Simplify right side
    536.24x = 233,250.93
  5. Step 5: Solve for x
    x = 233,250.93/536.24
  6. Step 6: Final answer
    x = 434.97

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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.