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Finding the Fourth Proportional to 644.93, 971.19 and 463.59

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Solution

The fourth proportional to 644.93, 971.19 and 463.59 is: 698.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.93 : 971.19 = 463.59 : x
  2. Step 2: Convert to fraction form
    644.93/971.19 = 463.59/x
  3. Step 3: Cross multiply
    644.93x = 971.19 × 463.59
  4. Step 4: Simplify right side
    644.93x = 450,233.97
  5. Step 5: Solve for x
    x = 450,233.97/644.93
  6. Step 6: Final answer
    x = 698.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.