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Finding the Fourth Proportional to 613.64, 846.78 and 482.96

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Solution

The fourth proportional to 613.64, 846.78 and 482.96 is: 666.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.64 : 846.78 = 482.96 : x
  2. Step 2: Convert to fraction form
    613.64/846.78 = 482.96/x
  3. Step 3: Cross multiply
    613.64x = 846.78 × 482.96
  4. Step 4: Simplify right side
    613.64x = 408,960.87
  5. Step 5: Solve for x
    x = 408,960.87/613.64
  6. Step 6: Final answer
    x = 666.45

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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.