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Finding the Fourth Proportional to 536.14, 736.89 and 473.60

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Solution

The fourth proportional to 536.14, 736.89 and 473.60 is: 650.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.14 : 736.89 = 473.60 : x
  2. Step 2: Convert to fraction form
    536.14/736.89 = 473.60/x
  3. Step 3: Cross multiply
    536.14x = 736.89 × 473.60
  4. Step 4: Simplify right side
    536.14x = 348,991.10
  5. Step 5: Solve for x
    x = 348,991.10/536.14
  6. Step 6: Final answer
    x = 650.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.