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Finding the Fourth Proportional to 456.48, 684.20 and 359.04

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Solution

The fourth proportional to 456.48, 684.20 and 359.04 is: 538.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.48 : 684.20 = 359.04 : x
  2. Step 2: Convert to fraction form
    456.48/684.20 = 359.04/x
  3. Step 3: Cross multiply
    456.48x = 684.20 × 359.04
  4. Step 4: Simplify right side
    456.48x = 245,655.17
  5. Step 5: Solve for x
    x = 245,655.17/456.48
  6. Step 6: Final answer
    x = 538.15

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