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Finding the Fourth Proportional to 503.87, 754.59 and 321.02

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Solution

The fourth proportional to 503.87, 754.59 and 321.02 is: 480.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.87 : 754.59 = 321.02 : x
  2. Step 2: Convert to fraction form
    503.87/754.59 = 321.02/x
  3. Step 3: Cross multiply
    503.87x = 754.59 × 321.02
  4. Step 4: Simplify right side
    503.87x = 242,234.71
  5. Step 5: Solve for x
    x = 242,234.71/503.87
  6. Step 6: Final answer
    x = 480.75

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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.