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Finding the Fourth Proportional to 500.37, 750.96 and 212.01

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Solution

The fourth proportional to 500.37, 750.96 and 212.01 is: 318.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.37 : 750.96 = 212.01 : x
  2. Step 2: Convert to fraction form
    500.37/750.96 = 212.01/x
  3. Step 3: Cross multiply
    500.37x = 750.96 × 212.01
  4. Step 4: Simplify right side
    500.37x = 159,211.03
  5. Step 5: Solve for x
    x = 159,211.03/500.37
  6. Step 6: Final answer
    x = 318.19

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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.