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Finding the Fourth Proportional to 456.54, 629.80 and 299.17

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Solution

The fourth proportional to 456.54, 629.80 and 299.17 is: 412.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.54 : 629.80 = 299.17 : x
  2. Step 2: Convert to fraction form
    456.54/629.80 = 299.17/x
  3. Step 3: Cross multiply
    456.54x = 629.80 × 299.17
  4. Step 4: Simplify right side
    456.54x = 188,417.27
  5. Step 5: Solve for x
    x = 188,417.27/456.54
  6. Step 6: Final answer
    x = 412.71

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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.