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Finding the Fourth Proportional to 449.60, 673.14 and 286.88

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Solution

The fourth proportional to 449.60, 673.14 and 286.88 is: 429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.60 : 673.14 = 286.88 : x
  2. Step 2: Convert to fraction form
    449.60/673.14 = 286.88/x
  3. Step 3: Cross multiply
    449.60x = 673.14 × 286.88
  4. Step 4: Simplify right side
    449.60x = 193,110.40
  5. Step 5: Solve for x
    x = 193,110.40/449.60
  6. Step 6: Final answer
    x = 429.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.