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Finding the Fourth Proportional to 504.20, 757.72 and 299.16

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Solution

The fourth proportional to 504.20, 757.72 and 299.16 is: 449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.20 : 757.72 = 299.16 : x
  2. Step 2: Convert to fraction form
    504.20/757.72 = 299.16/x
  3. Step 3: Cross multiply
    504.20x = 757.72 × 299.16
  4. Step 4: Simplify right side
    504.20x = 226,679.52
  5. Step 5: Solve for x
    x = 226,679.52/504.20
  6. Step 6: Final answer
    x = 449.58

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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.