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Finding the Fourth Proportional to 654.24, 903.12 and 447.36

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Solution

The fourth proportional to 654.24, 903.12 and 447.36 is: 617.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.24 : 903.12 = 447.36 : x
  2. Step 2: Convert to fraction form
    654.24/903.12 = 447.36/x
  3. Step 3: Cross multiply
    654.24x = 903.12 × 447.36
  4. Step 4: Simplify right side
    654.24x = 404,019.76
  5. Step 5: Solve for x
    x = 404,019.76/654.24
  6. Step 6: Final answer
    x = 617.54

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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.