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Finding the Fourth Proportional to 505.31, 758.10 and 176.27

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Solution

The fourth proportional to 505.31, 758.10 and 176.27 is: 264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.31 : 758.10 = 176.27 : x
  2. Step 2: Convert to fraction form
    505.31/758.10 = 176.27/x
  3. Step 3: Cross multiply
    505.31x = 758.10 × 176.27
  4. Step 4: Simplify right side
    505.31x = 133,630.29
  5. Step 5: Solve for x
    x = 133,630.29/505.31
  6. Step 6: Final answer
    x = 264.45

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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.