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Finding the Fourth Proportional to 613.13, 919.53 and 381.16

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Solution

The fourth proportional to 613.13, 919.53 and 381.16 is: 571.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.13 : 919.53 = 381.16 : x
  2. Step 2: Convert to fraction form
    613.13/919.53 = 381.16/x
  3. Step 3: Cross multiply
    613.13x = 919.53 × 381.16
  4. Step 4: Simplify right side
    613.13x = 350,485.76
  5. Step 5: Solve for x
    x = 350,485.76/613.13
  6. Step 6: Final answer
    x = 571.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.