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Finding the Fourth Proportional to 456.60, 629.88 and 299.16

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Solution

The fourth proportional to 456.60, 629.88 and 299.16 is: 412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.60 : 629.88 = 299.16 : x
  2. Step 2: Convert to fraction form
    456.60/629.88 = 299.16/x
  3. Step 3: Cross multiply
    456.60x = 629.88 × 299.16
  4. Step 4: Simplify right side
    456.60x = 188,434.90
  5. Step 5: Solve for x
    x = 188,434.90/456.60
  6. Step 6: Final answer
    x = 412.69

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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.