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Finding the Fourth Proportional to 613.02, 919.40 and 288.22

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Solution

The fourth proportional to 613.02, 919.40 and 288.22 is: 432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.02 : 919.40 = 288.22 : x
  2. Step 2: Convert to fraction form
    613.02/919.40 = 288.22/x
  3. Step 3: Cross multiply
    613.02x = 919.40 × 288.22
  4. Step 4: Simplify right side
    613.02x = 264,989.47
  5. Step 5: Solve for x
    x = 264,989.47/613.02
  6. Step 6: Final answer
    x = 432.27

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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.