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Finding the Fourth Proportional to 508.67, 762.31 and 264.70

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Solution

The fourth proportional to 508.67, 762.31 and 264.70 is: 396.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.67 : 762.31 = 264.70 : x
  2. Step 2: Convert to fraction form
    508.67/762.31 = 264.70/x
  3. Step 3: Cross multiply
    508.67x = 762.31 × 264.70
  4. Step 4: Simplify right side
    508.67x = 201,783.46
  5. Step 5: Solve for x
    x = 201,783.46/508.67
  6. Step 6: Final answer
    x = 396.69

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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.