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Finding the Fourth Proportional to 508.20, 762.78 and 264.90

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Solution

The fourth proportional to 508.20, 762.78 and 264.90 is: 397.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.20 : 762.78 = 264.90 : x
  2. Step 2: Convert to fraction form
    508.20/762.78 = 264.90/x
  3. Step 3: Cross multiply
    508.20x = 762.78 × 264.90
  4. Step 4: Simplify right side
    508.20x = 202,060.42
  5. Step 5: Solve for x
    x = 202,060.42/508.20
  6. Step 6: Final answer
    x = 397.60

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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.