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Finding the Fourth Proportional to 457.14, 688.80 and 377.76

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Solution

The fourth proportional to 457.14, 688.80 and 377.76 is: 569.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.14 : 688.80 = 377.76 : x
  2. Step 2: Convert to fraction form
    457.14/688.80 = 377.76/x
  3. Step 3: Cross multiply
    457.14x = 688.80 × 377.76
  4. Step 4: Simplify right side
    457.14x = 260,201.09
  5. Step 5: Solve for x
    x = 260,201.09/457.14
  6. Step 6: Final answer
    x = 569.19

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