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Finding the Fourth Proportional to 448.12, 673.26 and 415.72

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Solution

The fourth proportional to 448.12, 673.26 and 415.72 is: 624.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.12 : 673.26 = 415.72 : x
  2. Step 2: Convert to fraction form
    448.12/673.26 = 415.72/x
  3. Step 3: Cross multiply
    448.12x = 673.26 × 415.72
  4. Step 4: Simplify right side
    448.12x = 279,887.65
  5. Step 5: Solve for x
    x = 279,887.65/448.12
  6. Step 6: Final answer
    x = 624.58

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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.