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Finding the Fourth Proportional to 508.68, 763.22 and 277.73

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Solution

The fourth proportional to 508.68, 763.22 and 277.73 is: 416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.68 : 763.22 = 277.73 : x
  2. Step 2: Convert to fraction form
    508.68/763.22 = 277.73/x
  3. Step 3: Cross multiply
    508.68x = 763.22 × 277.73
  4. Step 4: Simplify right side
    508.68x = 211,968.83
  5. Step 5: Solve for x
    x = 211,968.83/508.68
  6. Step 6: Final answer
    x = 416.70

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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.