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Finding the Fourth Proportional to 646.32, 892.01 and 541.23

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Solution

The fourth proportional to 646.32, 892.01 and 541.23 is: 746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.32 : 892.01 = 541.23 : x
  2. Step 2: Convert to fraction form
    646.32/892.01 = 541.23/x
  3. Step 3: Cross multiply
    646.32x = 892.01 × 541.23
  4. Step 4: Simplify right side
    646.32x = 482,779.87
  5. Step 5: Solve for x
    x = 482,779.87/646.32
  6. Step 6: Final answer
    x = 746.97

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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.