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Finding the Fourth Proportional to 508.95, 763.30 and 220.23

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Solution

The fourth proportional to 508.95, 763.30 and 220.23 is: 330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.95 : 763.30 = 220.23 : x
  2. Step 2: Convert to fraction form
    508.95/763.30 = 220.23/x
  3. Step 3: Cross multiply
    508.95x = 763.30 × 220.23
  4. Step 4: Simplify right side
    508.95x = 168,101.56
  5. Step 5: Solve for x
    x = 168,101.56/508.95
  6. Step 6: Final answer
    x = 330.29

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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.