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Finding the Fourth Proportional to 647.43, 969.84 and 300.29

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Solution

The fourth proportional to 647.43, 969.84 and 300.29 is: 449.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.43 : 969.84 = 300.29 : x
  2. Step 2: Convert to fraction form
    647.43/969.84 = 300.29/x
  3. Step 3: Cross multiply
    647.43x = 969.84 × 300.29
  4. Step 4: Simplify right side
    647.43x = 291,228.40
  5. Step 5: Solve for x
    x = 291,228.40/647.43
  6. Step 6: Final answer
    x = 449.82

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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.