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Finding the Fourth Proportional to 304.80, 456.48 and 283.20

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Solution

The fourth proportional to 304.80, 456.48 and 283.20 is: 424.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.80 : 456.48 = 283.20 : x
  2. Step 2: Convert to fraction form
    304.80/456.48 = 283.20/x
  3. Step 3: Cross multiply
    304.80x = 456.48 × 283.20
  4. Step 4: Simplify right side
    304.80x = 129,275.14
  5. Step 5: Solve for x
    x = 129,275.14/304.80
  6. Step 6: Final answer
    x = 424.13

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