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Finding the Fourth Proportional to 456.36, 629.75 and 288.12

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Solution

The fourth proportional to 456.36, 629.75 and 288.12 is: 397.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.36 : 629.75 = 288.12 : x
  2. Step 2: Convert to fraction form
    456.36/629.75 = 288.12/x
  3. Step 3: Cross multiply
    456.36x = 629.75 × 288.12
  4. Step 4: Simplify right side
    456.36x = 181,438.98
  5. Step 5: Solve for x
    x = 181,438.98/456.36
  6. Step 6: Final answer
    x = 397.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.