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Finding the Fourth Proportional to 497.64, 746.46 and 327.40

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Solution

The fourth proportional to 497.64, 746.46 and 327.40 is: 491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.64 : 746.46 = 327.40 : x
  2. Step 2: Convert to fraction form
    497.64/746.46 = 327.40/x
  3. Step 3: Cross multiply
    497.64x = 746.46 × 327.40
  4. Step 4: Simplify right side
    497.64x = 244,391.00
  5. Step 5: Solve for x
    x = 244,391.00/497.64
  6. Step 6: Final answer
    x = 491.10

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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.