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Finding the Fourth Proportional to 654.73, 903.25 and 445.12

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Solution

The fourth proportional to 654.73, 903.25 and 445.12 is: 614.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.73 : 903.25 = 445.12 : x
  2. Step 2: Convert to fraction form
    654.73/903.25 = 445.12/x
  3. Step 3: Cross multiply
    654.73x = 903.25 × 445.12
  4. Step 4: Simplify right side
    654.73x = 402,054.64
  5. Step 5: Solve for x
    x = 402,054.64/654.73
  6. Step 6: Final answer
    x = 614.08

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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.