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Finding the Fourth Proportional to 305.10, 457.65 and 282.60

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Solution

The fourth proportional to 305.10, 457.65 and 282.60 is: 423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.10 : 457.65 = 282.60 : x
  2. Step 2: Convert to fraction form
    305.10/457.65 = 282.60/x
  3. Step 3: Cross multiply
    305.10x = 457.65 × 282.60
  4. Step 4: Simplify right side
    305.10x = 129,331.89
  5. Step 5: Solve for x
    x = 129,331.89/305.10
  6. Step 6: Final answer
    x = 423.90

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