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Finding the Fourth Proportional to 537.56, 804.94 and 292.96

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Solution

The fourth proportional to 537.56, 804.94 and 292.96 is: 438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.56 : 804.94 = 292.96 : x
  2. Step 2: Convert to fraction form
    537.56/804.94 = 292.96/x
  3. Step 3: Cross multiply
    537.56x = 804.94 × 292.96
  4. Step 4: Simplify right side
    537.56x = 235,815.22
  5. Step 5: Solve for x
    x = 235,815.22/537.56
  6. Step 6: Final answer
    x = 438.68

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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.