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Finding the Fourth Proportional to 500.94, 751.38 and 462.30

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Solution

The fourth proportional to 500.94, 751.38 and 462.30 is: 693.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.94 : 751.38 = 462.30 : x
  2. Step 2: Convert to fraction form
    500.94/751.38 = 462.30/x
  3. Step 3: Cross multiply
    500.94x = 751.38 × 462.30
  4. Step 4: Simplify right side
    500.94x = 347,362.97
  5. Step 5: Solve for x
    x = 347,362.97/500.94
  6. Step 6: Final answer
    x = 693.42

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