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Finding the Fourth Proportional to 503.24, 755.34 and 471.80

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Solution

The fourth proportional to 503.24, 755.34 and 471.80 is: 708.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.24 : 755.34 = 471.80 : x
  2. Step 2: Convert to fraction form
    503.24/755.34 = 471.80/x
  3. Step 3: Cross multiply
    503.24x = 755.34 × 471.80
  4. Step 4: Simplify right side
    503.24x = 356,369.41
  5. Step 5: Solve for x
    x = 356,369.41/503.24
  6. Step 6: Final answer
    x = 708.15

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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.