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Finding the Fourth Proportional to 508.72, 763.08 and 220.08

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Solution

The fourth proportional to 508.72, 763.08 and 220.08 is: 330.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.72 : 763.08 = 220.08 : x
  2. Step 2: Convert to fraction form
    508.72/763.08 = 220.08/x
  3. Step 3: Cross multiply
    508.72x = 763.08 × 220.08
  4. Step 4: Simplify right side
    508.72x = 167,938.65
  5. Step 5: Solve for x
    x = 167,938.65/508.72
  6. Step 6: Final answer
    x = 330.12

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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.