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Finding the Fourth Proportional to 456.58, 629.17 and 299.04

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Solution

The fourth proportional to 456.58, 629.17 and 299.04 is: 412.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.58 : 629.17 = 299.04 : x
  2. Step 2: Convert to fraction form
    456.58/629.17 = 299.04/x
  3. Step 3: Cross multiply
    456.58x = 629.17 × 299.04
  4. Step 4: Simplify right side
    456.58x = 188,147.00
  5. Step 5: Solve for x
    x = 188,147.00/456.58
  6. Step 6: Final answer
    x = 412.08

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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.