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Finding the Fourth Proportional to 504.24, 756.44 and 321.84

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Solution

The fourth proportional to 504.24, 756.44 and 321.84 is: 482.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.24 : 756.44 = 321.84 : x
  2. Step 2: Convert to fraction form
    504.24/756.44 = 321.84/x
  3. Step 3: Cross multiply
    504.24x = 756.44 × 321.84
  4. Step 4: Simplify right side
    504.24x = 243,452.65
  5. Step 5: Solve for x
    x = 243,452.65/504.24
  6. Step 6: Final answer
    x = 482.81

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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.