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Finding the Fourth Proportional to 504.56, 755.96 and 322.16

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Solution

The fourth proportional to 504.56, 755.96 and 322.16 is: 482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.56 : 755.96 = 322.16 : x
  2. Step 2: Convert to fraction form
    504.56/755.96 = 322.16/x
  3. Step 3: Cross multiply
    504.56x = 755.96 × 322.16
  4. Step 4: Simplify right side
    504.56x = 243,540.07
  5. Step 5: Solve for x
    x = 243,540.07/504.56
  6. Step 6: Final answer
    x = 482.68

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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.