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Finding the Fourth Proportional to 629.84, 866.97 and 546.62

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Solution

The fourth proportional to 629.84, 866.97 and 546.62 is: 752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.84 : 866.97 = 546.62 : x
  2. Step 2: Convert to fraction form
    629.84/866.97 = 546.62/x
  3. Step 3: Cross multiply
    629.84x = 866.97 × 546.62
  4. Step 4: Simplify right side
    629.84x = 473,898.81
  5. Step 5: Solve for x
    x = 473,898.81/629.84
  6. Step 6: Final answer
    x = 752.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.