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Finding the Fourth Proportional to 507.88, 761.74 and 142.58

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Solution

The fourth proportional to 507.88, 761.74 and 142.58 is: 213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.88 : 761.74 = 142.58 : x
  2. Step 2: Convert to fraction form
    507.88/761.74 = 142.58/x
  3. Step 3: Cross multiply
    507.88x = 761.74 × 142.58
  4. Step 4: Simplify right side
    507.88x = 108,608.18
  5. Step 5: Solve for x
    x = 108,608.18/507.88
  6. Step 6: Final answer
    x = 213.85

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