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Finding the Fourth Proportional to 504.92, 757.23 and 322.37

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Solution

The fourth proportional to 504.92, 757.23 and 322.37 is: 483.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.92 : 757.23 = 322.37 : x
  2. Step 2: Convert to fraction form
    504.92/757.23 = 322.37/x
  3. Step 3: Cross multiply
    504.92x = 757.23 × 322.37
  4. Step 4: Simplify right side
    504.92x = 244,108.24
  5. Step 5: Solve for x
    x = 244,108.24/504.92
  6. Step 6: Final answer
    x = 483.46

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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.