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Finding the Fourth Proportional to 513.78, 709.46 and 403.75

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Solution

The fourth proportional to 513.78, 709.46 and 403.75 is: 557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.78 : 709.46 = 403.75 : x
  2. Step 2: Convert to fraction form
    513.78/709.46 = 403.75/x
  3. Step 3: Cross multiply
    513.78x = 709.46 × 403.75
  4. Step 4: Simplify right side
    513.78x = 286,444.48
  5. Step 5: Solve for x
    x = 286,444.48/513.78
  6. Step 6: Final answer
    x = 557.52

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