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Finding the Fourth Proportional to 448.92, 673.20 and 304.80

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Solution

The fourth proportional to 448.92, 673.20 and 304.80 is: 457.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.92 : 673.20 = 304.80 : x
  2. Step 2: Convert to fraction form
    448.92/673.20 = 304.80/x
  3. Step 3: Cross multiply
    448.92x = 673.20 × 304.80
  4. Step 4: Simplify right side
    448.92x = 205,191.36
  5. Step 5: Solve for x
    x = 205,191.36/448.92
  6. Step 6: Final answer
    x = 457.08

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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.