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Finding the Fourth Proportional to 456.57, 629.84 and 286.20

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Solution

The fourth proportional to 456.57, 629.84 and 286.20 is: 394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.57 : 629.84 = 286.20 : x
  2. Step 2: Convert to fraction form
    456.57/629.84 = 286.20/x
  3. Step 3: Cross multiply
    456.57x = 629.84 × 286.20
  4. Step 4: Simplify right side
    456.57x = 180,261.10
  5. Step 5: Solve for x
    x = 180,261.10/456.57
  6. Step 6: Final answer
    x = 394.81

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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.