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Finding the Fourth Proportional to 465.68, 643.30 and 441.08

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Solution

The fourth proportional to 465.68, 643.30 and 441.08 is: 609.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.68 : 643.30 = 441.08 : x
  2. Step 2: Convert to fraction form
    465.68/643.30 = 441.08/x
  3. Step 3: Cross multiply
    465.68x = 643.30 × 441.08
  4. Step 4: Simplify right side
    465.68x = 283,745.85
  5. Step 5: Solve for x
    x = 283,745.85/465.68
  6. Step 6: Final answer
    x = 609.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.