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Finding the Fourth Proportional to 613.23, 919.84 and 288.42

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Solution

The fourth proportional to 613.23, 919.84 and 288.42 is: 432.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.23 : 919.84 = 288.42 : x
  2. Step 2: Convert to fraction form
    613.23/919.84 = 288.42/x
  3. Step 3: Cross multiply
    613.23x = 919.84 × 288.42
  4. Step 4: Simplify right side
    613.23x = 265,300.25
  5. Step 5: Solve for x
    x = 265,300.25/613.23
  6. Step 6: Final answer
    x = 432.63

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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.