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Finding the Fourth Proportional to 613.17, 919.20 and 288.45

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Solution

The fourth proportional to 613.17, 919.20 and 288.45 is: 432.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.17 : 919.20 = 288.45 : x
  2. Step 2: Convert to fraction form
    613.17/919.20 = 288.45/x
  3. Step 3: Cross multiply
    613.17x = 919.20 × 288.45
  4. Step 4: Simplify right side
    613.17x = 265,143.24
  5. Step 5: Solve for x
    x = 265,143.24/613.17
  6. Step 6: Final answer
    x = 432.41

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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.