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Finding the Fourth Proportional to 497.64, 746.32 and 189.66

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Solution

The fourth proportional to 497.64, 746.32 and 189.66 is: 284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.64 : 746.32 = 189.66 : x
  2. Step 2: Convert to fraction form
    497.64/746.32 = 189.66/x
  3. Step 3: Cross multiply
    497.64x = 746.32 × 189.66
  4. Step 4: Simplify right side
    497.64x = 141,547.05
  5. Step 5: Solve for x
    x = 141,547.05/497.64
  6. Step 6: Final answer
    x = 284.44

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