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Finding the Fourth Proportional to 613.47, 919.56 and 305.16

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Solution

The fourth proportional to 613.47, 919.56 and 305.16 is: 457.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.47 : 919.56 = 305.16 : x
  2. Step 2: Convert to fraction form
    613.47/919.56 = 305.16/x
  3. Step 3: Cross multiply
    613.47x = 919.56 × 305.16
  4. Step 4: Simplify right side
    613.47x = 280,612.93
  5. Step 5: Solve for x
    x = 280,612.93/613.47
  6. Step 6: Final answer
    x = 457.42

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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.