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Finding the Fourth Proportional to 448.08, 617.76 and 300.48

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Solution

The fourth proportional to 448.08, 617.76 and 300.48 is: 414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.08 : 617.76 = 300.48 : x
  2. Step 2: Convert to fraction form
    448.08/617.76 = 300.48/x
  3. Step 3: Cross multiply
    448.08x = 617.76 × 300.48
  4. Step 4: Simplify right side
    448.08x = 185,624.52
  5. Step 5: Solve for x
    x = 185,624.52/448.08
  6. Step 6: Final answer
    x = 414.27

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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.