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Finding the Fourth Proportional to 536.41, 804.31 and 289.46

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Solution

The fourth proportional to 536.41, 804.31 and 289.46 is: 434.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.41 : 804.31 = 289.46 : x
  2. Step 2: Convert to fraction form
    536.41/804.31 = 289.46/x
  3. Step 3: Cross multiply
    536.41x = 804.31 × 289.46
  4. Step 4: Simplify right side
    536.41x = 232,815.57
  5. Step 5: Solve for x
    x = 232,815.57/536.41
  6. Step 6: Final answer
    x = 434.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.