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Finding the Fourth Proportional to 505.28, 757.98 and 176.28

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Solution

The fourth proportional to 505.28, 757.98 and 176.28 is: 264.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.28 : 757.98 = 176.28 : x
  2. Step 2: Convert to fraction form
    505.28/757.98 = 176.28/x
  3. Step 3: Cross multiply
    505.28x = 757.98 × 176.28
  4. Step 4: Simplify right side
    505.28x = 133,616.71
  5. Step 5: Solve for x
    x = 133,616.71/505.28
  6. Step 6: Final answer
    x = 264.44

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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.