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Finding the Fourth Proportional to 647.40, 971.82 and 322.68

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Solution

The fourth proportional to 647.40, 971.82 and 322.68 is: 484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.40 : 971.82 = 322.68 : x
  2. Step 2: Convert to fraction form
    647.40/971.82 = 322.68/x
  3. Step 3: Cross multiply
    647.40x = 971.82 × 322.68
  4. Step 4: Simplify right side
    647.40x = 313,586.88
  5. Step 5: Solve for x
    x = 313,586.88/647.40
  6. Step 6: Final answer
    x = 484.38

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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.