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Finding the Fourth Proportional to 456.13, 629.53 and 290.42

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Solution

The fourth proportional to 456.13, 629.53 and 290.42 is: 400.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.13 : 629.53 = 290.42 : x
  2. Step 2: Convert to fraction form
    456.13/629.53 = 290.42/x
  3. Step 3: Cross multiply
    456.13x = 629.53 × 290.42
  4. Step 4: Simplify right side
    456.13x = 182,824.95
  5. Step 5: Solve for x
    x = 182,824.95/456.13
  6. Step 6: Final answer
    x = 400.82

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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.