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Finding the Fourth Proportional to 613.60, 846.36 and 392.16

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Solution

The fourth proportional to 613.60, 846.36 and 392.16 is: 540.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.60 : 846.36 = 392.16 : x
  2. Step 2: Convert to fraction form
    613.60/846.36 = 392.16/x
  3. Step 3: Cross multiply
    613.60x = 846.36 × 392.16
  4. Step 4: Simplify right side
    613.60x = 331,908.54
  5. Step 5: Solve for x
    x = 331,908.54/613.60
  6. Step 6: Final answer
    x = 540.92

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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.