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Finding the Fourth Proportional to 508.56, 762.69 and 264.96

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Solution

The fourth proportional to 508.56, 762.69 and 264.96 is: 397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.56 : 762.69 = 264.96 : x
  2. Step 2: Convert to fraction form
    508.56/762.69 = 264.96/x
  3. Step 3: Cross multiply
    508.56x = 762.69 × 264.96
  4. Step 4: Simplify right side
    508.56x = 202,082.34
  5. Step 5: Solve for x
    x = 202,082.34/508.56
  6. Step 6: Final answer
    x = 397.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.