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Finding the Fourth Proportional to 456.35, 629.55 and 288.23

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Solution

The fourth proportional to 456.35, 629.55 and 288.23 is: 397.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.35 : 629.55 = 288.23 : x
  2. Step 2: Convert to fraction form
    456.35/629.55 = 288.23/x
  3. Step 3: Cross multiply
    456.35x = 629.55 × 288.23
  4. Step 4: Simplify right side
    456.35x = 181,452.05
  5. Step 5: Solve for x
    x = 181,452.05/456.35
  6. Step 6: Final answer
    x = 397.62

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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.