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Finding the Fourth Proportional to 536.05, 739.47 and 314.98

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Solution

The fourth proportional to 536.05, 739.47 and 314.98 is: 434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.05 : 739.47 = 314.98 : x
  2. Step 2: Convert to fraction form
    536.05/739.47 = 314.98/x
  3. Step 3: Cross multiply
    536.05x = 739.47 × 314.98
  4. Step 4: Simplify right side
    536.05x = 232,918.26
  5. Step 5: Solve for x
    x = 232,918.26/536.05
  6. Step 6: Final answer
    x = 434.51

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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.