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Finding the Fourth Proportional to 644.76, 970.99 and 483.57

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Solution

The fourth proportional to 644.76, 970.99 and 483.57 is: 728.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.76 : 970.99 = 483.57 : x
  2. Step 2: Convert to fraction form
    644.76/970.99 = 483.57/x
  3. Step 3: Cross multiply
    644.76x = 970.99 × 483.57
  4. Step 4: Simplify right side
    644.76x = 469,540.43
  5. Step 5: Solve for x
    x = 469,540.43/644.76
  6. Step 6: Final answer
    x = 728.24

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