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Finding the Fourth Proportional to 505.46, 757.02 and 488.16

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Solution

The fourth proportional to 505.46, 757.02 and 488.16 is: 731.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.46 : 757.02 = 488.16 : x
  2. Step 2: Convert to fraction form
    505.46/757.02 = 488.16/x
  3. Step 3: Cross multiply
    505.46x = 757.02 × 488.16
  4. Step 4: Simplify right side
    505.46x = 369,546.88
  5. Step 5: Solve for x
    x = 369,546.88/505.46
  6. Step 6: Final answer
    x = 731.11

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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.