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Finding the Fourth Proportional to 564.74, 780.10 and 454.64

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Solution

The fourth proportional to 564.74, 780.10 and 454.64 is: 628.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.74 : 780.10 = 454.64 : x
  2. Step 2: Convert to fraction form
    564.74/780.10 = 454.64/x
  3. Step 3: Cross multiply
    564.74x = 780.10 × 454.64
  4. Step 4: Simplify right side
    564.74x = 354,664.66
  5. Step 5: Solve for x
    x = 354,664.66/564.74
  6. Step 6: Final answer
    x = 628.01

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