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Finding the Fourth Proportional to 462.61, 693.64 and 188.83

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Solution

The fourth proportional to 462.61, 693.64 and 188.83 is: 283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.61 : 693.64 = 188.83 : x
  2. Step 2: Convert to fraction form
    462.61/693.64 = 188.83/x
  3. Step 3: Cross multiply
    462.61x = 693.64 × 188.83
  4. Step 4: Simplify right side
    462.61x = 130,980.04
  5. Step 5: Solve for x
    x = 130,980.04/462.61
  6. Step 6: Final answer
    x = 283.13

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