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Finding the Fourth Proportional to 646.43, 969.69 and 372.41

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Solution

The fourth proportional to 646.43, 969.69 and 372.41 is: 558.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.43 : 969.69 = 372.41 : x
  2. Step 2: Convert to fraction form
    646.43/969.69 = 372.41/x
  3. Step 3: Cross multiply
    646.43x = 969.69 × 372.41
  4. Step 4: Simplify right side
    646.43x = 361,117.40
  5. Step 5: Solve for x
    x = 361,117.40/646.43
  6. Step 6: Final answer
    x = 558.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.