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Finding the Fourth Proportional to 305, 457.64 and 189.58

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Solution

The fourth proportional to 305, 457.64 and 189.58 is: 284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305 : 457.64 = 189.58 : x
  2. Step 2: Convert to fraction form
    305/457.64 = 189.58/x
  3. Step 3: Cross multiply
    305x = 457.64 × 189.58
  4. Step 4: Simplify right side
    305x = 86,756.16
  5. Step 5: Solve for x
    x = 86,756.16/305
  6. Step 6: Final answer
    x = 284.45

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