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Finding the Fourth Proportional to 647.54, 971.67 and 322.91

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Solution

The fourth proportional to 647.54, 971.67 and 322.91 is: 484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.54 : 971.67 = 322.91 : x
  2. Step 2: Convert to fraction form
    647.54/971.67 = 322.91/x
  3. Step 3: Cross multiply
    647.54x = 971.67 × 322.91
  4. Step 4: Simplify right side
    647.54x = 313,757.10
  5. Step 5: Solve for x
    x = 313,757.10/647.54
  6. Step 6: Final answer
    x = 484.54

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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.