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Finding the Fourth Proportional to 508.76, 762.28 and 363.84

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Solution

The fourth proportional to 508.76, 762.28 and 363.84 is: 545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.76 : 762.28 = 363.84 : x
  2. Step 2: Convert to fraction form
    508.76/762.28 = 363.84/x
  3. Step 3: Cross multiply
    508.76x = 762.28 × 363.84
  4. Step 4: Simplify right side
    508.76x = 277,347.96
  5. Step 5: Solve for x
    x = 277,347.96/508.76
  6. Step 6: Final answer
    x = 545.14

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