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Finding the Fourth Proportional to 448.24, 672.08 and 217.04

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Solution

The fourth proportional to 448.24, 672.08 and 217.04 is: 325.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.24 : 672.08 = 217.04 : x
  2. Step 2: Convert to fraction form
    448.24/672.08 = 217.04/x
  3. Step 3: Cross multiply
    448.24x = 672.08 × 217.04
  4. Step 4: Simplify right side
    448.24x = 145,868.24
  5. Step 5: Solve for x
    x = 145,868.24/448.24
  6. Step 6: Final answer
    x = 325.42

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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.