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Finding the Fourth Proportional to 537.53, 807.09 and 332.96

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Solution

The fourth proportional to 537.53, 807.09 and 332.96 is: 499.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.53 : 807.09 = 332.96 : x
  2. Step 2: Convert to fraction form
    537.53/807.09 = 332.96/x
  3. Step 3: Cross multiply
    537.53x = 807.09 × 332.96
  4. Step 4: Simplify right side
    537.53x = 268,724.65
  5. Step 5: Solve for x
    x = 268,724.65/537.53
  6. Step 6: Final answer
    x = 499.93

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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.