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Finding the Fourth Proportional to 646.75, 892.52 and 370.75

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Solution

The fourth proportional to 646.75, 892.52 and 370.75 is: 511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.75 : 892.52 = 370.75 : x
  2. Step 2: Convert to fraction form
    646.75/892.52 = 370.75/x
  3. Step 3: Cross multiply
    646.75x = 892.52 × 370.75
  4. Step 4: Simplify right side
    646.75x = 330,901.79
  5. Step 5: Solve for x
    x = 330,901.79/646.75
  6. Step 6: Final answer
    x = 511.64

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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.